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10th CBSE
IMPORTANT
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The shadow of a vertical tower on level ground increases by 16 m when the altitude of the sun changes from angles of elevation 60° to 45°. If the height of the tower is k m, find the value of k corrected to two decimal places considering 3=1.73.

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Important Questions on Heights & Distances

MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>REVISION EXERCISE>Q 14
From a window, 60 m high above the ground, of a house in a street, the angles of elevation and depression of the top and foot of another house on the opposite side of the street are 60° and 45° respectively. Show that the height of the opposite house is 60(1+3) metres.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>REVISION EXERCISE>Q 15
Two pillars of equal heights are on either side of a road, which is 100 m wide. The angles of elevation of the top of the pillars are 60° and 30° at a point on the road between the pillars. Find the position of the point between the pillars on the road and the height of the pillars.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>REVISION EXERCISE>Q 16
From the top of a building 60 m high the angles of depression of the top and the bottom of a tower are observed to be 30° and 60° respectively. Find the height of the tower in m.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>REVISION EXERCISE>Q 17
The height of a mountain is k3 km if the elevation of its top at an unknown distance from the base is 60° and at a distance 10 km further off from the mountain, along the same line, the angle of elevation is 30°, then find the value of k.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>REVISION EXERCISE>Q 18
Two men on either side of a cliff, 60 m high, observe the angles of elevation of the top of the cliff to be 45° and 60° respectively. The distance between two men is k3+3 m. Find k.