Applications of Sine and Cosine

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

Find the measure of the indicated angle.

• 9.39

• 55.2

• 20.2

• 19.4

Solve for the missing distance

• 18.9 meters

• 19.5 meters

• 47.2 meters

• 27.5 meters

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

• .4706

• .875

• .8824

• .5333

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 the misssing distance

• 18.9 meters

• 19.5 meters

• 47.2 meters

• 27.5 meters

Solve for x.

• 24.20

• 4.92

• 290.4

• 29.75

Which scenario describes the picture shown?

• 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?

• 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?

• An 8 foot ramp leans
  against a building 5 feet away.  What angle does the ramp make with the ground?

• 5 foot man is 8 feet away from a building.  What is the angle of elevation?

If you are given the opposite side and hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

Choose the correct ratio.

• sinZ=5/13

• sinX=5/13

• cosX=13/12

• tanZ=12/5