Question

9) A 10 feet flag stands. Point A is the top of flag, point B is End of the flag’s shadow and point C is the bottom of flag. The distance from point A to Point B is a total of 15 feet. What is the length of the distance from point B to C?

10) Two hockey players are trying to kill some time. They are throwing their mini-sticks against the building from a distance to see who can get there stick to stand up the tallest. The winner was lying at a 430 angle. If the mini-stick was 9 inches tall, how high up on the building did the stick touch ?


HELP PLEASE :?

Answer 1

9) 11.18 feet

10) 6.14 inches

Explanation:

The first problem sets up a situation with a right triangle. See image. Two sides are given, so you can use Pythagorean Theorem to find the last side. See image.

The second problem also sets up a right triangle. But here only one side length is given and one angle, so you use trigonometry. Sine is the ratio of the opposite side/hypotenuse. Use sine to find the missing length. See image.

I rounded these answers to the nearest hundredth (two decimal places) Check directions if they should be rounded more or less.