Sam is framing a closet under a stairway. the stairway is 13 ft 5 in. long, and its angle of elevation is 34 degrees°. find the depth of the closet to the nearest inch.

90 inches.

Step-by-step explanation:

Please find the attachment.

We have been given that Sam is framing a closet under a stairway. The length of the stairway is 13 ft 5 inch and its angle of elevation is 34 degrees°.

Let us convert length of staircase in inches.

We can see that closet under staircase is forming a right triangle with hypotenuse of 13 ft and 5 inches. The depth of the closet is opposite of 34 degrees angle.

Since we know that sine relates the hypotenuse and opposite side of a given angle (in a right triangle), therefore we will use sine to find the depth of closet.  

Therefore, the depth of the closet to the nearest inch will be 90 inches.  

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step-by-step explanation:

$452.90 because you needed to round to the nearest cent