Right Triangle Trigonometry and Inverse Trigonometry

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 

What equation can be used to solve for x?

• Sin(40°)= x/40 

• Sin(40º)=x/19

• Cos(40º)=x/19

• Tan(40°)=19/x

Sam 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^o

• 45^o

• 71^o

• 138^o

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4

• 55.2

• 20.15

• 19.4

Solve for the missing angle.

• 33°

• 49°

• 39°

• 41°

Find the measure of the missing angle.

• 49^o

• 50^o

• 41^o

• 33^o

Which equation would you use to solve for the unknown angle?

• x = sin^–1(4/5)

• x = cos^–1(4/5)

• x = cos^–1(5/4)

• x = tan^–1(4/5)

Which equation would you use to solve for the unknown angle?

• x = tan^–1(24/7)

• x = tan^–1(7/24)

• x = tan^–1(25/7)

• x = tan^–1(7/25)

Which equation could be used to solve for the unknown angle?

• x =sin^–1(25/24)

• x = sin^–1(24/25)

• x = sin^–1(25/7)

• x = sin^–1(7/25)

Which equation would you use to solve for the unknown angle?

• x =cos^–1(68/85)

• x = cos^–1(85/68)

• x = cos^–1(51/85)

• x = cos^–1(85/51)