Question

the angle of depression from the top of a cliff to a boat at sea is 17 degrees. the boat is 450m away from the shore. what is the height of the cliff?

Answer 1

h = 137.57 m

Explanation:

Given that,

The angle of depression from the top of a cliff to a boat at sea is 17 degrees

The distance between the boat and the shore is 450 m, x = 450 m

We need to find the height of the cliff. Let the height be h. Using trigonometry to find it as follows :

`\tan\theta=(h)/(x)\\\\h=x\tan\theta\\\\h=450* \tan(17)\\\\h=137.57\ m`

So, the height of the cliff is 137.57 m.