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

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.

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step-by-step explanation: