Applications of Right Triangle 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. 

• 63 ft

• 65 ft

• 74 ft

• 87 ft

Which trigonometric ratio should you use?

• Tangent Ratio

• Sine Ratio

• Cosine Ratio

• Any ratio

Solve for the missing angle

• 50.5 degrees

• 12.7 degrees

• 36.9 degrees

• 72.2 degrees

If you are given the two sides that are NOT the hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• cotangent

If you are given the length of a hypotenuse and the length of an adjacent side, what trigonometry ratio could you use .

• sine

• cosine

• tangent

• trigonometry

The ratio of the length of the side opposite of the angle to the length of the hypotenuse is the _____________

• Sine

• Cosine

• Tangent

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?

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

What is tan(A)

• X / Y

• Y / X

• Z / Y

• X/ Z

In a right triangle, one side other than the hypotenuse is 8 cm and an acute angle is 45°. What is the length of the hypotenuse?

• 4 cm

• 8 cm

• 8√2 cm

• None of the above