Question

from the top of the tower 60 metres high the angle of depression of two objects due north and due south of the tower are 60° and 45° then the distance between the two objects is how much​

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10th

Maths

Some Applications of Trigonometry

Heights and Distances

From the top of a tower of ...

MATHS

Asked on December 26, 2019 byShamli Gayen

From the top of a tower of height 60m, the angles of depression of the top and the bottom of a building are observed to be 30∘ and 60∘ respectively. Find the height of the building.

A

20m

B

60m

C

80m

D

40m

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ANSWER

Let BE=h,AB=60−h,BC=ED

Distance between tower and building be ED=x

In ΔAED,tan60∘=EDAE=x60

⇒3=x60

⇒x=203m

In ΔABC,tan30∘=BCAB=20360−h

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