Question

Given the picture below, Find the value of x

Answer 1

x=8.12cm (to 3s.f.)

Explanation:

use tangent(tan), a trigonometric function

tan(angle BAC)=the opposite side of the angle divided by the adjacent side of the angle

in other words, tan(32degrees)=x/13

0.62487=x/13

x=0.62487 x 13

=8.12cm (to 3s.f.)

Answer 2

x=8.12330

Explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 32 = x/13

13 tan 32 =x

x=8.12330