Question

In a right triangle, one acute angle is 22º and the hypotenuse is 70 cm. Find the

lengths of the legs and the other angle measure.

Answer 1

Adjacent leg (In relation to the angle that is measure 22 degrees)= 70*Cosine 22 or 64.9; Opposite leg (In relation to the angle that is measure 22 degrees)=70* Sin 22 or 26.22

Explanation:

The other angle measure is 90-22 or 68.

To find the length of the adjacent leg (a) use cosine. Remember cosine is Adjacent leg over hypotenuse.

Cosine 22= a/70- Multiply by 70

70* Cosine 22=a or about 64.9

To find the length of the opposite leg (o) use sine. Remember sine is Opposite leg over hypotenuse

Sine 22= o/70

70*Sine 22=o

o= about 26.22