Question

A guy wire anchors down a wind turbine. The anchor for the wire is 93 m away from the base of the turbine, and it connects to the turbine 236 m above the ground. What is the angle of elevation for the guy wire? (In degrees. Round to 2 decimal places.)

Answer 1

Answer: $68.49^{\circ}$

Step-by-step explanation:

Given: The anchor for the wire is 93 m away from the base of the turbine.

It connects to the turbine 236 m above the ground.

Let x be the angle of elevation for the guy wire

By trigonometry,

$\tan x=\frac{\text{side opposite to x}}{\text{side adjacent to x}}\\\Rightarrow\ \tan x=\frac{236}{93}\\\Rightarrow\ x=\tan^{-1}(\frac{236}{93})\\\Rightarrow\ x=\tan^{-1}(2.5376)\\\Rightarrow\ x=1.195\ radians \\\\\Rightarrow\ 1.195\times\frac{180^{\circ}}{\pi}=68.49219\approx68.49^{\circ}$