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by BlastRoom
Practice solving right-triangle sight-line problems with angles of elevation and depression.
#geometry
40 questions
One question set, multiple game modes. Tap any game to see it in action. Not sure which to pick?
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Answer to earn energy, then climb.
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A surveyor's instrument C is 1.5 m above the ground and 60 m from a building. The angle of elevation from C to the top A is 32°. B is the point on the building level with C, and F is its base. What is the building height AF, to the nearest tenth?
A visitor's eye C is 1.6 m above the ground and 80 m from a mast. The angle of elevation from C to the top A is 28°. B is the point on the mast level with C, and F is its base. What is the mast height AF, to the nearest tenth?
A drone operator's camera C is 1.2 m above the ground and 45 m from an antenna. The angle of elevation from C to the top A is 41°. B is the point on the antenna level with C, and F is its base. How tall is the antenna AF, to the nearest tenth?
A park ranger's binoculars C are 1.7 m above the ground and 70 m from a tower. The angle of elevation from C to the top A is 35°. B is the point on the tower level with C, and F is its base. Find the tower height AF, to the nearest tenth.
A student's eye C is 1.5 m above the ground and 25 m from a flagpole. The angle of elevation from C to the top A is 52°. B is the point on the flagpole level with C, and F is its base. What is the flagpole height AF, to the nearest tenth?
A photographer's tripod lens C is 1.4 m above the ground and 90 m from a building. The angle of elevation from C to the roof A is 40°. B is the point on the building level with C, and F is its base. What is the roof height AF, to the nearest tenth?
A lifeguard's eyes C are 1.8 m above the ground and 35 m from a platform. The angle of elevation from C to the top A is 24°. B is the point on the platform level with C, and F is its base. Find the platform height AF, to the nearest tenth.
A tourist's camera C is 1.6 m above the ground and 95 m from a monument. The angle of elevation from C to the top A is 27°. B is the point on the monument level with C, and F is its base. What is the monument height AF, to the nearest tenth?
An engineer's transit C is 1.3 m above the ground and 40 m from a wall. The angle of elevation from C to the roofline A is 60°. B is the point on the wall level with C, and F is its base. What is the roofline height AF, to the nearest tenth?
A scout's eye C is 1.4 m above the ground and 55 m from a tree. The angle of elevation from C to the top A is 33°. B is the point on the tree level with C, and F is its base. What is the tree height AF, to the nearest tenth?
A roof inspector's device C is 1.7 m above the ground and 18 m from a wall. The angle of elevation from C to the roof edge A is 48°. B is the point on the wall level with C, and F is its base. Find the roof edge height AF, to the nearest tenth.
A technician's device C is 1.5 m above the ground and 140 m from a water tower. The angle of elevation from C to the top A is 22°. B is the point on the water tower level with C, and F is its base. What is the tower height AF, to the nearest tenth?
A kite is 30 m above the ground. A person's eyes are 1.5 m high, and the angle of elevation to the kite is 25°. How far is the person horizontally from the kite, nearest tenth?
A weather balloon is 54 m above a field. From a point on the field, the angle of elevation to the balloon is 36°. What is the horizontal distance to the point below it, nearest tenth?
The top of a 20 m light pole is seen at an angle of elevation of 40° from an eye height of 1.6 m. How far is the observer horizontally from the pole, nearest tenth?
A drone is 75 m above its launch pad. From a 1.5 m eye height, the angle of elevation to the drone is 30°. What is the horizontal distance to the launch pad, nearest tenth?
A cliff top is 22 m above a beach. From a boat, the angle of elevation to the cliff top is 12°. How far is the boat horizontally from the cliff base, nearest tenth?
A window is 12 m above the street. From an eye height of 1.7 m, its angle of elevation is 55°. How far is the observer horizontally from the wall, nearest tenth?
A mountain hut is 260 m higher than a trail marker. The angle of elevation from the marker to the hut is 20°. What is the horizontal distance between them, nearest tenth?
A tower platform is 38 m above a camera. The angle of elevation from the camera to the platform is 18°. Find the horizontal distance to the tower base, nearest tenth.
From a cliff 80 m above the water, the angle of depression to a boat is 12°. What is the horizontal distance from the boat to the cliff base, nearest tenth?
From an observation deck 150 m high, the angle of depression to a plaza statue is 28°. How far horizontally is the statue from the deck's base, nearest tenth?
A drone is 120 m above the ground. Its angle of depression to a runner is 35°. What is the runner's horizontal distance from the point directly below the drone, nearest tenth?
A lighthouse lamp is 42 m above sea level. The angle of depression to a buoy is 9°. What is the buoy's horizontal distance from the lighthouse, nearest tenth?
A ski lift chair is 65 m above the base station. The angle of depression to the lodge is 40°. How far horizontally is the lodge from the point below the chair, nearest tenth?
A bridge deck is 18 m above a river. The angle of depression to a kayak is 22°. What is the horizontal distance from the kayak to the point below the observer, nearest tenth?
From an apartment window 30 m above the street, the angle of depression to a parked bike is 50°. How far is the bike horizontally from the building, nearest tenth?
From a hilltop 210 m above a valley, the angle of depression to a campsite is 15°. Find the campsite's horizontal distance from the point below the hilltop, nearest tenth.
A crane cab is 70 m above the ground. The angle of depression to a truck is 32°. What is the truck's horizontal distance from the crane base, nearest tenth?
A balcony is 24 m above a plaza. The angle of depression to a fountain is 60°. How far horizontally is the fountain from the point below the balcony, nearest tenth?
The figure shows an observation point facing a tower line, with sightlines to the top and to a sign base. What vertical distance separates them, nearest tenth?
The figure shows an observer looking toward a banner. The top is above the observer's horizontal line and the bottom is below it. What is the banner height, nearest tenth?
A camera is set up facing a pole, and the camera's horizontal line meets the pole between the top and the base. What is the pole height, nearest tenth?
The figure shows a drone's camera viewing the top and base of a radio mast. What is the mast height, nearest tenth?
The figure shows a ship near a cliff, with sightlines to the cliff top and to a cave entrance. What vertical distance separates them, nearest tenth?
From a point on level ground, the angles of elevation to a window and to the roof of a building are 28 degrees and 42 degrees, both measured from the ground. What is the vertical distance from the window to the roof, to the nearest tenth?
A surveyor views a tower with an antenna attached, and the figure shows sightlines to the antenna's top and bottom. What is the antenna height, nearest tenth?
The figure shows a balcony facing a statue, with sightlines to the statue's top and base. What is the statue height, nearest tenth?
The figure shows a mural extending above and below an observer's horizontal line. How far away is it, nearest tenth?
From a lookout above a straight pier, the angles of depression to the near and far ends are 50° and 22°. The ends are 50 m apart horizontally. How high is the lookout above the pier, nearest tenth?
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40 questions
