Question

In ARST, the measure of ZT=90°, the measure of ZR=9°, and RS = 46 feet. Find thelength of ST to the nearest tenth of a foot.

Answer 1

Question:

Solution:

Since it is a right triangle, and the side opposite the angle is unknown, we can use the following trigonometric identity:

$\sin (9^{\circ})=\text{ }\frac{x}{46}$

solving for x, we get:

$x\text{ = sin(9) x 46 = 7.19}\approx7.2$

then the correct solution is:

$x\text{ =}7.2$