Question

In ΔQRS, the measure of ∠S=90°, the measure of ∠R=36°, and RS = 98 feet. Find the length of QR to the nearest tenth of a foot.

Answer 1

The Length of the hypotenuse RQ is 121.1 feet

Explanation:

Here angle SQR =(180-90-36)=54

through trigonometry we know that SINФ=Perpendicular/Hypotenuse

here SIN54 = RS/RQ

we know that SIN 54 =0.809

putting the values of SIN54 and RS

0.809 = 98/X

applying cross multiplication

X = 98/0.809

X = 121.1