Question

Instructions: Find the missing side. Round your answer to the nearest tenth.

24°
х
27

Answer 1

x = 60.6 units

Explanation:

Hi there!

In this right triangle, we're given the measure of an angle, the side opposite that angle and another side adjacent to that angle (that is not the hypotenuse). In this circumstance, we can use the tangent ratio to help us solve for the missing side:

`tan\theta=(opp)/(adj)`

Plug in the given information:

opp = 27, adj = x, θ = 24

`tan(24)=(27)/(x)\\x=(27)/(tan(24)) \\x=60.6`

Therefore, the length of the missing side is 60.6 units when rounded to the nearest tenth.

I hope this helps!