Math 101

Math 240 Class Packet #7

Topics

- Solving right triangles - Applications of right triangles (Soccer, Ferris Wheels, and others)

First Things First

For each of the following, use your knowledge of right triangles to solve for the indicated quantities.

1a) If A = 42°andc = 15ft, finda ( Assume C = 90°)

1b) A = 48.3 °, a = 3.48 inches

2) IfC = 26°and r = 19, findx

3) A penalty kick is taken from position A. A goalkeeper can block any shot within the segment CD. To score, a kicker must shot thee ball within angle CAE. Find the measure of this angle.

4) Use the picture to find the vertical height of the door.

5) A Ferris wheel has a diameter of 165 ft. If the top of the wheel stands 174 feet above the ground, find h when θ is 240 °.

Do it Yourself

For each of the following, use your knowledge of right triangles to solve for the indicated quantities.

6a) IfB = 24.5°andc = 2.34ft, finda.

6b) B = 21°, c = 4.2ft

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7) If ∠ABD = 53°, C = 48°, andBC = 42findxandh

8) A penalty kick is taken from position A. A goal can block any shot within the segment CD. In order to score, the kick must be sent within either angle CAE or DAF. Find the sum of these two angles men- tioned.

9) Use the picture to find the vertical dimensions of the mirror.

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10) Use the picture below to find the height of the tree. Assume that the angle of elevation at point A is 10.7 ° and that the angle at B is 86.6 °.

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