Question

In AOPQ, the measure of ZQ=90°, the measure of 20=48°, and QO = 4.9 feet. Findthe length of PQ to the nearest tenth of a foot.РX480QO4.9

Answer 1

Explanation:

The tan ratio for angle O gives

`\tan O=\frac{\text{opp}}{\text{adj}}`

since opposite = x, adjacent = 4.9, and O = 48, the above gives

`\tan 48^o=(x)/(4.9)`

Multiplying both sides gives

`4.9*\tan 48^o=x`

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

`x=5.4`

which is our answer!