Question

In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.
x = _____

Answer 1

Use the trigonometric function.


`\cos x^o=(28)/(72)\\\\\cos x^o\approx0.3889\to x^o\approx67.1^o`

Answer 2

x = 67.10° is the answer.

Explanation:

The given triangle is a right angle triangle in which measure of angle is given as x°. Adjacent side (Base) of the angle x is 28 ft and largest side of the triangle (Hypotenuse) is of 72 ft.

We have to the value of x.

Now we find the cosine of angle x

cosx =
`\frac{\text{Base}}{\text{Hypotenuse}}`

cosx =
`(28)/(72)`

cosx =
`(7)/(18)` = 0.389

x =
`cos^(-1)(0.389)`

x = 67.10°

angle x = 67.10° is the answer.