Question

In OPQ, the measure of Q=90°, OP = 96 feet, and PQ = 23 feet. Find the measure

of 20 to the nearest degree.

Answer 1

`O = 14^\circ`

Explanation:

Given

`\angle Q = 90`

`OP = 96`

`PQ = 23`

Required

Find
`\angle O` to the nearest degree

To calculate O, we make use of:

`sin(O) = (PQ)/(PO)` --- See attachment for triangle

`sin(O) = (23)/(96)`

`sin(O) = 0.2396`

Take arcsin of both sides

`O = sin^(-1)(0.2396)`

`O = 14^\circ` -- approximated