Question

A right triangle has an acute angle measure of 22°. which two numbers represent the lengths of the legs of this triangle?

Answer 1

I encountered this problem before but it had choices. If this problem had these choices:
A) 2 and 5
B) 3 and 5
C) 4 and 5

Then the correct answer is A) 2 and 5.

We will use the tangent ratio.

tanΘ = opposite/adjacent

tan 22° = 2/5
0.404 = 0.40

Thus the two numbers that represent the lengths of the legs of the right triangle are 2 and 5.