a) Amber is at a ski resort with her friends. As they are admiring the view of the scenery from their balcony that is 125 feet above the ground, she sees her friend arriving late. She looks down at an angle of 48*. How far is the distance from her friend and herself?
You have to use sin to find the missing side. You have sin48 = 125/x. You have to rid of the x by itself, so you multiply both sides by x (to get it to the other side and get rid of the x on the bottom) and then divide both sides by sin48 to get the x by itself.
b) Amber goes downstairs to help her friend bring up her luggage. Their other friend, Alex, calls to them from the balcony. Amber looks up at an angle of 63*. How far is the distance between Amber and Alex?
It is the same idea as part a; you have to solve for the missing side, so you must use sin. The x is on the bottom again so you multiply both sides by x and then divide everything by sin63 to get the x.
*Students can either use the full height of 125 feet, or can assume that the eye level of the person is 5 feet and use 120 feet as the height as well.*
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