University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2014
Views:

297

Pages:

1
Author:

Nehemiah Barnes

An eagle spotted a mouse 20 feet below at an angle of 42 degrees with the horizon. If the eagle flies along its line of sight, how far will it have to fly to reach its prey? [sin~42^{\circ}=\frac{20}{x}] [x=\frac{20}{sin~42}=29.889=29.9~feet] A 20-foot ladder is leaning against a wall. The base of the ladder is 3 feet from the wall. What angle does the ladder make with the ground? right triangle with a ladder leaning against a wall [cos~x=\frac{3}{20}] [x=81.4^{\circ}] How tall is a bridge if a 6-foot-tall person standing 100 feet away can see the top of the bridge at an angle of 30 degrees to the horizon? right triangle with a person, a bridge, and an angle of 30 degrees [tan~30^{\circ}=\frac{x}{100}] [100 \cdot tan~30^{\circ}=x] [57.7+6=x] [57.7=x] An air force pilot must descend 1500 feet over a distance of 9000 feet to land smoothly on an aircraft carrier. What is the plane's angle of descent? right triangle with a plane, an angle of descent, and distances of 1500 feet and 9000 feet [tan~x=\frac{1500}{9000}] [x=9.5^{\circ}] In a movie theater 150 feet long, the floor is sloped so there is a difference of 30 feet between the front and back of the theater. What is the angle of depression? right triangle with a theater, an angle of depression, and distances of 30 feet and 150 feet [tan~x=\frac{30}{150}] [x=11.5^{\circ}] A bow hunter is perched in a tree 15 feet off the ground. If he sees his prey on the ground at an angle of 30 degrees, how far will the arrow have to travel to hit his target?