Right Triangle Trigonometry and Applications

Which equation could be used to find the measure of one acute angle in the right triangle at the right?

• tanB = 14/9 

• cosA = 9/14

• tanB = 9/14

• sinA = 9/14

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the length of the ramp to the nearest tenth of an inch. 

• 4.1 inches

• 3.9 inches

• 22.7 inches 

• 0.7 inches 

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

Solve for the missing distance.

• 18.9

• 19.5

• 47

• 27.5

What is the correct equation?

• sin 40 = w/28

• cos 40 = w/28

• tan 40 = w/28

• sin 40 = 28/w

• 25 metres

• 50 metres

• 28.87 metres

• 43.3 metres

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

• 2 m

• 28.9 m

• 6.1 m

• 28.2 m

Right triangle ABC is shown. 

Select all expressions which are equal to the length of side BC .

• Sine

• Cosine

• Tangent

• Cotangent

• Cocosine

1. Right triangle ABC is shown. 

Select all expressions which are equal to the length of side BC .