Answer:
h = 137.57 m
Step-by-step 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 :
[tex]\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=450\times \tan(17)\\\\h=137.57\ m[/tex]
So, the height of the cliff is 137.57 m.
