Question

In the following figure, the value of x is

B.
X
41°
с
11
A
Note: Round your answer to the nearest tenth.

Answer 1

Given:

In a right angle triangle ABC,
`m\angle B=90^\circ, BC=x, AC=11, m\angle C=41^\circ`.

To find:

The value of x to the nearest tenth.

Solution:

In a right angle triangle,

`\cos\theta =(Adjacent)/(Hypotenuse)`

In the given right angle triangle ABC,

`\cos \angle C =(BC)/(AC)`

`\cos (41^\circ) =(x)/(11)`

`11(0.7547) =x`

`8.3017 =x`

Round the answer to the nearest tenth.

`x\approx 8.3`

Therefore, the value of x is 8.3 units.