# Aright triangle has a 30 degree angle. the leg adjacent to the 30 degree angle measures 25 inches. what

4 answers

###### Question:

Aright triangle has a 30 degree angle. the leg adjacent to the 30 degree angle measures 25 inches. what is the length of the other leg? round to the nearest tenth.

## Answers

The answer is in the following picture:

[tex]Aright triangle has a 30 degree angle. the leg adjacent to the 30 degree angle measures 25 inches. w[/tex]

Tan(30)=X/25

25 tan(30)=X

X=14.4 inches

Tan(30°) = opposite/adjacent ⇒

opposite = adjacent * tan(30°) = 25 * 0.5773 ≈14.4 in ← to the nearest tenth.

The length of the other leg is 14.4

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