Question

Find the value of x
.

Answer 1

D. 6.09

Explanation:

For the triangle on the left,

we use the pythagorean theorem,

`c^2 = a^2 + b^2\\here,\\a = 4.9\\b = 7.5\\c^2 = 4.9^2 + 7.5^2\\c = √(4.9^2 + 7.5^2) \\c = 8.959\ cm`

Now, to find x, we apply SOHCAHTOA to the triangle on the right,

We use TOA

where c is the opposite and X is the adjacent, and the angle is 55.8 degrees

Hence we get,

tan(55.8) = 8.959/X

X = 8.959/(tan(55.8))

X = 6.0885

or,

X = 6.09

The correct option is D