Originally Posted by

**NYCKid09** 1.)

A student who is 5 feet tall stands 40 feet away from the base of a water tower. The angle of elevation between the top of the student’s head and the top of the water tower is 62 degrees. How tall is the water tower, to the nearest foot?

I know this has to involve trig, but I dont know which functions.

2.)

The size of a television is based on the length of the diagonal across the screen. The diagonal of Sara’s television screen is 32 inches and width is 25 inches. The border aound the screen is ½ inch wide. The television opening I her entertainment cabinet is 22 inches high and 27 inches wide. Will the television fit into her open-backed cabinet? Why?

I used the Pythagorean theorem to find the height, and I say it will fit in. The height will be 19.5. I think..

3.) Polygon ABCD is congruent to polygon PQRS, where angle A corresponds to angle P. The value of angle A is 5x-25 and the value of angle P is 3x+5. What is the measure of angle A?

50?

4.) As Alice walks home she passes an empty rectangular field. She can either walk around the edge of the field or across the field diagonally. About how many feet less is the walk diagonally across the lot?

Dimensions:

Length: 400 feet

Width: 250 feet.

Im assumiung use the Pythag theorem and substract the difference.

400^2+250^2=C^2

178 feet difference?