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

Step-by-step explanation:

The sine ratio for the angle O gives

`\sin O=\frac{op}{\text{adj}}`
`\sin O=(4.1)/(7.7)`

Taking the inverse sine ofboth sides gives

`\sin ^(-1)(\sin O)=\sin ^(-1)((4.1)/(7.7))_{}`
`O=\sin ^(-1)((4.1)/(7.7))_{}`

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

`\boxed{O\approx32^o}`

which is our answer!