Mathematics, 31.03.2020 08:34 shartiarahoward

Two students stand 1 yard apart and measure their respective angles of elevation to the top of a tree. Student A measures the angle to be 57°, and Student B measures the angle to be 46°.

Triangle T G A is shown. A line is drawn from point T to point A to form a second triangle. Angle T G A is a right angle, angle G A T is 57 degrees, and angle G B T is 46 degrees. The length of G T is h and the length of A B is 1 yard.

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

What is h, the height of the tree? Use the law of sines to first find AT. Then use that measure to find the value of h.

3.0 yards
3.2 yards
3.8 yards
4.4 yards

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Two students stand 1 yard apart and measure their respective angles of elevation to the top of a tre...