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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 :

Question:

Solution:

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

[tex]\sin (9^{\circ})=\text{ }\frac{x}{46}[/tex]

solving for x, we get:

[tex]x\text{ = sin(9) x 46 = 7.19}\approx7.2[/tex]

then the correct solution is:

[tex]x\text{ =}7.2[/tex]

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