Pythagorean Theorem
Solve for the length of the hypotenuse in a right triangle with leg lengths of 6 and 8.
10
Page 461 #9
x = 3, y = 6
Page 477 #8
cosX = 15/17
cosY = 8/17
Page 469 #5
tanA = 12/5 tanB = 5/12
Page 486 #6
<A = 27°
A 16 foot ladder rests against the side of a house. The base of the ladder is 4 feet from the base of the house. How high above the ground is the top of the ladder? Give the exact answer in radical form.
4√15 feet
Page 437 #16
x = 32
Page 462 #14
m = √3 n = √3
Page 469 #8
x = 13.7
A ramp is used to launch a kayak. What is the heigh of an 11 foot ramp when its angle of elevation is 30°?
5.5 feet
Do the following lengths form a triangle? If so, is it a right, obtuse, or acute triangle?
3, 7, and 5
Yes, they form a triangle. It's obtuse.
Draw a 45-45-90 triangle with a hypotenuse length of 7. What is the length of the leg?
Page 486 #15
<G = 29°
<J = 61°
HJ = 7.7
You are standing on a footbridge in a city park that is 12 feet high above a pond. You look down and see a duck in the water 7 feet away from the bridge. What is the angle of depression?
59.7°
Page 486 #16
<A = 46.4°
AB = 7.2
AC = 5