Trigonometry and Rocket Height Problems

The video tutorial from YourTeacher.com explains how to solve a geometry problem involving a rocket's height using trigonometry. Neil observes a rocket at an 11-degree angle of elevation from a point 5 miles away. The tutorial guides viewers through drawing a diagram, setting up a right triangle, and using the tangent function to calculate the rocket's height, which is found to be 97 miles.

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What angle of elevation does Neil observe the rocket at?

• 5 degrees

• 20 degrees

• 11 degrees

• 15 degrees

How far is Neil from the rocket's launch pad?

• 3 miles

• 7 miles

• 5 miles

• 10 miles

What is an angle of elevation?

• An angle formed by two vertical lines

• An angle formed from the ground upward

• An angle formed by a diagonal line

• An angle formed by two horizontal lines

In the problem, what shape is formed by Neil, the launch pad, and the rocket?

• A right triangle

• A square

• A rectangle

• A circle

Which trigonometric function is used to solve for the rocket's height?

• Tangent

• Secant

• Cosine

• Sine

What is the formula for tangent in a right triangle?

• Adjacent over Hypotenuse

• Opposite over Adjacent

• Adjacent over Opposite

• Hypotenuse over Opposite

What is the length of the side opposite the 11° angle in the problem?

• 7 miles

• 5 miles

• 11 miles

• X miles

What operation is performed to isolate X in the equation?

• Division

• Multiplication

• Subtraction

• Addition

What is the calculated height of the rocket rounded to the nearest hundredth?

• 97 miles

• 11 miles

• 50 miles

• 5 miles