Question

PLEASEEEEE HELP ASAP!!! IM NOT GOOD AT MATH AND I DONT UNDERSTAND THIS PROBLEM!!!! PLEASE HELP!!!!!

Answer 1

You need to use the law of sines.
First, we find the measures of the angles x.
x + x + 100 = 180
2x + 100 = 180
2x = 80
x = 40

Now we set up an equation based on the law of sines.

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

We know one angle (100 deg) and its opposite side (750,000 miles).
Then we know another angle (40 deg) and need to find the opposite side (d).

$\dfrac{d}{\sin 40^\circ} = \dfrac{750,000}{\sin 100^\circ}$

Now we solve for d. Multiply both sides by sin 40.

$d = \dfrac{\sin 40^\circ}{\sin 100^\circ} \times 750,000$

Answer: The first choice.