Two construction workers, tyrone and diego, are standing 15 yards apart, looking up at a piano hanging between the two men from a crane. tyrone is staring at the piano with an angle of elevation of 65°, and diego is looking up with an angle of elevation of 77°. what is the distance between tyrone and the piano? round the answer to the nearest tenth.

The distance between Tyrone and the piano is 23.7 yards

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle P

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

∠T+∠D+∠P=180°

substitute the given values

65°+77°+∠P=180°

142°+∠P=180°

∠P=180°-142°=38°

step 2

applying the law of sines

substitute the given values

therefore

The distance between Tyrone and the piano is 23.7 yards

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