Question

In opq the measure of Q=90 OP=7.7 and PQ=4.1 feet. Find the measure of O to the nearest degree

Answer 1

of bothAnswer:

O = 32

Explanation:

The sine ratio for the angle O gives

$\sin O=\frac{op}{\text{adj}}$$\sin O=\frac{4.1}{7.7}$

Taking the inverse sine ofboth sides gives

$\sin ^{-1}(\sin O)=\sin ^{-1}(\frac{4.1}{7.7})_{}$$O=\sin ^{-1}(\frac{4.1}{7.7})_{}$

Using the calculator we evaluate the right-hand side to get

$\boxed{O\approx32^o}$

which is our answer!