Two students stand 1 yard apart and measure their respective angles of elevation to the top of a tree. Student A measures the an
gle 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.
