dixiequeen1296 dixiequeen1296
  • 02-11-2020
  • Mathematics
contestada

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?

Respuesta :

Muscardinus Muscardinus
  • 03-11-2020

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.

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