Question

Find the value of x, round the length to the nearest meter

Answer 1

ANSWER

405m

EXPLANATION

We know the opposite side of of the right triangle to be 4629m and the given angle is 85°.

Since we want to find the adjacent side which is x units, we use the tangent ratio to obtain,

$\tan(85 \degree) = \frac{opposite}{adjacent}$

$\tan(85 \degree) = \frac{4629}{x}$

Solve for x.

$x = \frac{4629}{\tan(85 \degree)}$

x=404.985

To the nearest meter, x=405m