A25 foot tall flagpole casts a 42 feet shadow. what is the angle in which the sun hits the flagpole? (this would be the upper acute angle in the right triangle shown). round your answer to the nearest whole number. enter only a number, with no degree symbol necessary.

The angle with which the sun hits the flagpole is  59.24°

Height of the flagpole = 25 feet

The height  of the shadow of flagpole = 42 feet

We have to determine that with what angle the sun hits the flagpole

Also it is given that  

This would be the upper acute angle in the right triangle whose figure is attached

This can be find out using trigonometric relation for the right triangle formed due to the flagpole and its  shadow

So the angle with which the sun hits the flagpole is  59.24°

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Given:

The length of a rectangle is 3 inches less than three times its width.

The perimeter of the rectangle is 34 inches.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, the length of a rectangle is 3 inches less than three times its width.

Length of the rectangle = 3x-3

Now, perimeter of the rectangle is

The perimeter of the rectangle is 34 inches.

Divide both sides by 8.

The value of x is 5. So, width of the rectangle is 5 inches.

Therefore, the length of the rectangle is 12 inches and the width of the rectangle is 5 inches.