Word Problems
A fireman needs to lean a ladder against a burning building. If the building is 20 feet tall, and the ground forms an angle of 75 degrees with the ground, how long does his ladder need to be?
20.7 feet
Find the angle with the given information. Adjacent = 12 Hypotenuse = 13
22.6 degrees
Find the missing Side: Angle= 37 Adjacent = 11 Hypotenuse = ?
13.8
In triangle ABC, angle A is a right triangle. If tan of b = 8/9. Find cos b.
cos b = 9/12
Chicas is standing 42 feet away from the base of a building looking up with an angle of elevation of 48 degrees, at Quinton, who is fixing to throw a baseball down to him. How tall is the building?
46.6 degrees
Find the angle: Adjacent =13 Opposite = 4
17.1 degrees
Find the missing side: Angle = 32 Adjacent = 13 Opposite = x
8.1
In triangle ABC, angle A is a right angle. If Cos a = 12/17, find sin b.
sin b = 12/17.
Hannah, Jennifer, Vivi, Citlalli, Astrid, and Lindsey are all at an apple farm picking apples off of a tree. Hannah bets them all that she can climb to the top and get the highest apple, which is 52 ft off the ground. If Astrid, Jennifer, Vivi, Citlalli, and Lindsey are 9 feet from the tree, what is the angle of elevation (theta) from the girls to Hannah in the tree?
80.2 degrees
Find the angle: Opposite = 11.9 Adjacent = 10
50
Find the missing side: Adjacent = x Angle = 60 Hypotenuse = 11
5.5
In triangle ABC, angle A is a right angle. If sin B is 11/7, find tan b.
tan b = 11/8.49.
Chris, Grant, Erick, and Tam decide to have a Pokémon battle. Erick Summons Charizard who stands at 18 feet high, and Erick is looking up at Charizard with an angle of elevation of 27 degrees, how far away is Erick from his Pokémon?
35.3 feet away
Find the angle: Hypotenuse = 9 Adjacent = 6
48.2
Find the missing side: Angle = 50.1 Adjacent = 5 Opposite = x
6
In triangle ABC, angle A is a right angle. If cos C = 9/14, find sin B.
sin B = 9/14.
Kobe, Carter, Emory, Jackson, Josh, and Cameron are all out playing golf. Carter smashes a drive with an angle of elevation of 15 degrees. If the highest point of the drive was at 60 feet, how far was the ball when it was at 60 feet in the air? (Yes I am fully aware this won't generate a true right triangle. Draw it as though it were one.)
224 feet
Find the angle: Opposite = 3 Adjacent = 3
45
Find the missing side: Opposite = 4 Adjacent = x Angle = 41
4.6
In triangle ABC, angle A is a right angle. If cos B = 12/15, find the sin C.
sec a = 12/15