From the top of a tower of height 50 m, the angles of depression o | Filo
filo Logodropdown-logo

Class 10

Math

All topics

Some Applications of Trigonometry

view icon587
like icon150

From the top of a tower of height 50 m, the angles of depression of the top and bottom of a pole are and respectively. Find:

i) how far the pole is from the bottom of the tower?  

ii) the height of the pole.

Solution:
In this fig, AB is the tower.
CD is the pole.

The distance between the tower and the pole is BC

In right angle triangle ABC, one angle is 45

Hence the other angle is 180-90-45=45

Hence it is a 45 -45- 90 triangle.

BC=AB=50m.

Hence the distance between the tower and the pole is 50m.

Now in rt.angled ,

AED is a 30-60-90 Triangle.



Hence

Hence height of the pole
view icon587
like icon150
filo banner image

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

playstore logoplaystore logo
Similar Topics
introduction to trigonometry
relations and functions ii
some applications of trigonometry
complex number and quadratic equations
surface areas and volumes