Question

Trig ratio and finding the missing angle pair.

Answer 1

Hello!

This is a question relating trigonometric ratios and a missing angle.

Here, since we are given all three sides of the triangle, we can use any of the three trigonometric ratios, sine, cosine, or tangent to solve this problem.

I'll be using the sine ratio for this problem.

The sine of an angle is the ratio between the triangle's opposite side and its hypotenuse.

Meaning the following equation could be set up.

$sin(\theta)=\frac{45}{75}$

Now, we can just solve for theta.

$\theta=sin^{-1}(\frac{45}{75})$

Make sure you're in degrees when you're solving this problem.

$\theta=36.870$

Hope this helps!