Posted by **Arun** on Saturday, December 28, 2013 at 9:58am.

The angle of depression of the top and bottom of a tower as seen from the top of a 100m high cliff are 30degree and 60degree respectively. find the height of the tower

- trig -
**Reiny**, Saturday, December 28, 2013 at 10:31am
I assume you made a sketch.

On mine I let the distance between tower and cliff be x m

then tan60° = 100/x

x = 100/tan60°

In my smaller right-angled triangle at the top of my diagram ,

let the difference between height of tower and height of cliff be h

then tan 30 = h/x

h = xtan30

= (100/tan60)tan30

then height of tower = 100 - h

I will let you do all that button-pushing,

let me know what you got

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