Right Triangle Trig Word Problems Solving for a Side

What is the value of x?

• 6 < x < 30

• 21.63

• 13.42

• 30 < x < 6

The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder? 

• 10 ft

• 14 ft

• 17 ft

• 100 ft

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft

• 65 ft

• 74 ft

• 87 ft

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

Find, to the nearest degree, the angle which the sun's rays make with the ground when a flagpole 40 feet high casts a shadow 30 feet long.

• 48^o

• 37^o

• 28^o

• 53^o

Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30.  How wide is the t.v.?

• 30²  + 40² = c²

• a²  + 40² = 30²

• 30²  + b² = 40²

• 40²  + 30² = c²

What is the correct ratio?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

Find x.

• 10

• √3

• 5

• 10√3

What is the length of x?

• 4√2

• 4

• 8

• 4√3

Set up the problem...

• sin X = 41/28

• tan X = 41/28

• cos X = 28/41

• sin X = 28/41