Question

Suppose that you are headed toward a plateau 37 meters high. If the angle of elevation to the top of the plateau is ​, how far are you from the base of the​ plateau?

Answer 1

21.36 meters

Explanation:

Given

`h = 37m`

`\theta = 60^o`

Required

The distance from the base (b)

The question illustrates right-angled triangle (see attachment)

To solve for (b), we make use of tangent formula

`\tan(60)=(h)/(b)`

Make b the subject

`b =(h)/(\tan(60))`

So:

`b =(37)/(\tan(60))`

`b =(37)/(1.7321)`

`b =21.36`