Question

What is the measure of angle X?

Enter your answer as a decimal in the box. Round only your answer to the nearest hundredth.

Answer 1

Because you have all the numbers, you can use any sin, cos, or tan they all give you the same answer cos^-1(84/85)= 81.20
Try the other ones and they are the same

Answer 2

`\huge\boxed{\sf X = 81.20\°}`

Explanation:

For angle X:

Hypotenuse = 85

Opposite = 84

Adjacent = 13

Using any of the three trigonometric ratios to find angle x.

Solution:

Let us use sin.

sin θ = opposite / hypotenuse

sin X = 84 / 85

sin X = 0.99

X = sin⁻¹ 0.99

X = 81.20°

`\rule[225]{225}{2}`