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

Answer:

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

$\tan 48^o=\frac{x}{4.9}$

Multiplying both sides gives

$4.9\times\tan 48^o=x$

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

$x=5.4$

which is our answer!