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

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.