QUIZ ON TRIGONOMETRY

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree.
HINT: Assume this is a right triangle.

• 63 ft
• 65 ft
• 74 ft
• 87 ft

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees
• 45 degrees
• 71 degrees
• 138 degrees 

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

Which of the following is the correct diagram for the problem?

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The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

• 12 feet

• 13.9 feet

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

A building 62 feet tall casts a shadow 21 meters long.  At what angle is the sun shining on the building?
HINT: Assume this is a right triangle.

• 19.80
• 18.71
• 70.20
• 71.29

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?

• 1.2 m
• 28.9 m
• 6.1 m
• 28.2 m

Jake built a skateboard ramp that covers a horizontal distance of 10 ft.  The ramp rises a total of 3.5 ft.  What angle does the ramp make with the ground? Round to the nearest degree.

• 19 degrees
• 20 degrees
• 28 degrees
• 35 degrees

Solve for x. 

• A. 65.5^o
• B. 55.2^o
• C. 46.1^o
• D. 75.6^o

Solve for AC. 

• A. 13.55 cm
• B. 14.39 cm
• C. 11.44 cm
• D. 12.47 cm