SOLUTION: Are these correct answers? 7. A 15 foot ladder is learning against a house so that it is 7 feet from the ground. What angle does the ladder make with the ground? arcsin 7

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Question 1137375: Are these correct answers?
7. A 15 foot ladder is learning against a house so that it is 7 feet from the ground. What angle does the ladder make with the ground?

arcsin 7/15 = 27.818



8. A plane must begin its descent when it is 80 feet above the ground and 250 feet from the airport. At what angle should his descent be if he wants to fly in a straight line from the point of descent to the ground?

arccos 8/25 = 57.769

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
1. correct
hypotenuse is 15
height is 7
angle is:
sin%28alpha%29=7%2F15
alpha=sin%5E-1%287%2F15%29
alpha=27.82°

2.
arccos+%288%2F25%29+%3C%3E+57.769 ->it is 71.34°

since you are given:
A plane must begin its descent when it is 80 feet above the ground (which is one leg of right triangle) and 250+feet from the airport (which is other leg of right triangle) , so you should use tan
recall, the angle of elevation is equal to the angle of depression that pilot lowers the nose at: so,

tan%28alpha%29=8%2F25
alpha=tan%5E-1%288%2F25%29
alpha=17.74°