Applications of Trig

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

• 12.4 ft

• 11.3 ft

• 22.3 ft

• 49.1 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

Solve for x.

• 24.20

• 4.92

• 290.4

• 29.75

Solve for the missing distance

• 18.9 meters

• 19.5 meters

• 47.2 meters

• 27.5 meters

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 23 feet

• 43 feet 

• 110 feet 

• 135 feet 

• 24/32
• 32/24
• 32/40
• 24/40

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

Solve for the misssing distance

• 18.9 meters

• 19.5 meters

• 47.2 meters

• 27.5 meters

If you are given the two sides that are not the hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

• 27/36
• 27/45
• 45/36
• 45/27