Question

Fill in the blank. In the triangle below, x=__. Round your answer to two decimal places.

Answer 1

Given:

The figure of a right triangle.

To find:

The value of x.

Solution:

In a right triangle,

`\tan \theta=(Perpendicular)/(Base)`

In the given right angle triangle,

`\tan 52^\circ=(x)/(35)`

`1.2799* 35=x`

`44.7965=x`

Approximate the value to two decimal places.

`x\approx 44.80`

Therefore, the value of x is about 44.80 units.