The lid of a grand piano is propped open by a
supporting arm, as shown in the diagram at
right. Carson knows that the supporting arm
is 2 feet long and makes a 60° angle with the
piano. He also knows that the piano lid
makes a 23° angle with the piano. How wide
is the piano?

5.08 ft

Step-by-step explanation:

-This is a shape formed by the lid, piano amd supporting arm i a triangle.

-The piano's width corresponds to the missing angle and the ∠23° corresponds to the length of the supporting arm.

#We apply the Law of Sines to Calculate the piano's width:

We substitute as follows:

Hence, the piano's width is 5.08 ft

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36