Right Triangle Trig Application Problems

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 

A kite is flying 78 ft above the ground, and the string is pulled taut. The angle of elevation of the kite is 65°. Find the length of the string. Round your answer to the nearest tenth.

• 70.7 ft.

• 36.4 ft.

• 184.6 ft.

• 86.1 ft.

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 

Solve for the missing distance.

• 18.9

• 19.5

• 47

• 27.5

Elizabeth is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree. HINT: USE SIN, COS OR TAN TO ANSWER THIS QUESTION BASED OFF OF THE ANGLE YOU ARE GIVEN IN RELATION TO THE SIDES OF THE TRIANGLE THAT YOU ARE GIVEN.

• 63.6 ft

• 1.59 ft

• 74.2 ft

• 86.9 ft

Solve for IR

• 28

• 7

Find a.

• 3

• 6

An 18 – foot high lamppost casts a shadow. If the angle of elevation from the tip of the shadow to the sun is 54⁰, what is the length of the shadow?

Which of the following trigonometric ratios will solve the given problem?

• Cosine

• Secant

• Sine

• Tangent