An observer 2 m tall is 10 √ 3 m away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The height of the tower is:
Answer: B
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The elevation of the summit of a mountain from its foot is 45°. After ascending 2 km towards the mountain upon an incline of 30°,the elevation changes to 60°. What is the approximate height of the mountain?
Answer: B
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Two vertical poles are 200 m apart and the height of one is double that of the other. From the middle point of the line joining their feet, an observer finds the angular elevations of their tops to be
Answer: C
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From a point C on a level ground, the angle of elevation of the top of a tower is 30 degree. If the tower is 100 meter high, find the distance from point C to the foot of the tower.
Answer: C
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When the sun is 30º above the horizontal, Find the length of shadow cast by a building 50m high.
Answer: A
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Two poles standing on the same side of a tower in a straight line with it, measure the angles of elevation of the top of the tower at 25º and 50º respectively. If the height of the tower is 70 m, find
Answer: B
Let AB be the tower and C and D the poles. AB = 70 m.
In Δ ABC, cot 50º = BC/AB
Or, cot (90º – 40º) = BC/70
Or, tan 40º = BC/70
Or, 0.8391 = BC/70
Or, BC = 0.8391 × 70 = 58.74 m.
In Δ ABD, cot 25º = BD/AB
Or, cot (90º – 65º) = BD/70
Or, tan 65º = BD/70
Or, 2.114451 = BD/70
Or, BD = 2.114451 × 70 = 148.01 m.
Hence, distance between people = CD = BD – BC
= 148.01 – 58.74 = 89.27 m.
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To a man standing outside his house, the angles of elevation of the top and bottom of a window are 60° and 45° respectively. If the height of the man is 180 cm and he is 5 m away from the wall, what i
Answer: C
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The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?
Answer: B
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From the top of a temple near a river the angles of depression of both the banks of river are 45° & 30°. If the height of the temple is 100 m then find out the width of the river.
Answer: B
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