Question

Which function would you use to find to find the measurement of angle D?PLEASE HELP ME​

Answer 1

Answer:

D.

Step-by-step explanation:

Note that with respect to ∠D, its adjacent side is f and the hypotenuse is e.

Since we are given the adjacent side and its hypotenuse, we can use cosine. Recall that cosine is the following ratio:

$\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$

So, for ∠D, this yields that:

$\displaystyle \cos(D)=\frac{f}{e}$

To solve for D, then, we can take the inverse cosine of both sides:

$\displaystyle m\angle D=\cos^{-1}\Big(\frac{f}{e}\Big)$

Our answer is D.