Question

X

Instructions: Find the missing side. Round your answer to the nearest tenth.
11
20
57°
X

Answer 1

Explanation:

x=cos57 x 20

x=10.9

Answer 2

Value of x is 10.9

Explanation:

Note:

In a right triangle, the cosine of an angle is defined as the ratio of the base to the hypotenuse.

The base is the side of the triangle that is adjacent to the angle, and the hypotenuse is the longest side of the triangle, which is opposite the right angle.

In this case,

Angle = 57°

Base = x

Hypotenuse = 20

Since we have

`\sf Cos Angle = (Base)/(Hypotenuse)`

Substituting value

`\sf Cos 57^\circ = (x)/(20)`

Doing criss cross multiplication:

`\sf x = 20*Cos 57^\circ`

`\sf x=10.8927 \approx 10.9`

Therefore, Value of x is 10.9.