Solving Right Triangle Trigonometry Word Problems

This video tutorial covers modeling real-world situations using trigonometry. It includes examples such as calculating the distance of a zipline cable, the length of a skateboard ramp, the altitude of a drone, the angle of elevation for an anti-aircraft tank, and the distance traveled by a boat approaching a lighthouse. Each scenario uses trigonometric functions like cosine, sine, tangent, and inverse tangent to solve for unknown values.

What trigonometric function is used to solve for the distance from the foot of the tree to the base of the zipline cable?

• Tangent

• Sine

• Cotangent

• Cosine

To solve for the distance of the foot of the zipline cable from the tree, which sides of the triangle are used?

• None of the above

• Adjacent and Hypotenuse

• Adjacent and Opposite

• Opposite and Hypotenuse

What is the length of the skateboard ramp?

• 12 feet

• 22.6 feet

• 32 feet

• 42 feet

What is the vertical height of the skateboard ramp?

• 10 feet

• 11 feet

• 12 feet

• 13 feet

What trigonometric function is used to find the altitude of the drone?

• Secant

• Tangent

• Cosine

• Sine

What is the altitude of the drone?

• 66.6 yards

• 56.6 yards

• 76.6 yards

• 46.6 yards

What is the approximate angle of elevation the tank must adjust to hit the helicopter?

• 79.3 degrees

• 59.3 degrees

• 49.3 degrees

• 69.3 degrees

Which trigonometric function is used to calculate the angle of elevation for the tank?

• Tangent

• Cosine

• Sine

• Inverse Tangent

How far did the boat travel towards the lighthouse in 10 minutes?

• 127.2 meters

• 157.2 meters

• 137.2 meters

• 147.2 meters

What was the initial angle of elevation from the boat to the lighthouse?

• 49 degrees

• 39 degrees

• 29 degrees

• 19 degrees