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Latti9eSt3ephe Latti9eSt3ephe
  • 06-02-2017
  • Mathematics
Answered

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

Verified Answer :

MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 14-02-2017

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. 

tan
Θ = 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.

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