Question


Determine the value of x.
A) 4.96
B) 2.90
C) 11.62
D) 0.73

Answer 1

B) 11.62

Step-by-step explanation

This is a right triangle, so to find x we can use trigonometric ratios. In this case we have the measure of one of the angles, the length of its adjacent side and we want to find the length of its opposite side, x. Therefore we have to use the tangent of the angle:

`\tan 71º=(x)/(4)`

Solving for x:

`x=4\tan 71º\approx4\cdot2.904\approx11.62`