Trigonometric Ratios and Angles

The video tutorial covers various trigonometric problems involving right triangles. It starts with calculating the height of the Eiffel Tower using the tangent function. Next, it finds missing measurements in a right triangle using given angles and sides. The tutorial then calculates the distance from the base of the Gateway Arch using trigonometry. It verifies trigonometric equations and calculates the height of a kite using a 45-45-90 triangle. The video also matches side length ratios to angles and uses similar triangles to find side lengths.

What is the angle of elevation that Ma uses to view the top of the Eiffel Tower?

• 75°

• 80°

• 85.7°

• 90°

If Ma is standing 80 feet away from the Eiffel Tower, what trigonometric function is used to find the height?

• Secant

• Tangent

• Cosine

• Sine

What is the calculated height of the Eiffel Tower based on Ma's observation?

• 150 feet

• 200 feet

• 180 feet

• 164 feet

In the right triangle problem, what is the given angle used to find side AC?

• 90°

• 45°

• 63°

• 27°

Which trigonometric function is used to find side AC in the right triangle?

• Sine

• Cotangent

• Cosine

• Tangent

What is the length of side AC in the right triangle?

• 26.5

• 23.6

• 30

• 12

What theorem is used to find the hypotenuse in the right triangle problem?

• Cosine Rule

• Sine Rule

• Pythagorean Theorem

• Tangent Rule

What is the length of the hypotenuse in the right triangle?

• 30

• 12

• 23.6

• 26.5

What is the measure of angle B in the right triangle?

• 90°

• 63°

• 45°

• 27°

What is the height of the Gateway Arch in St. Louis?

• 700 feet

• 630 feet

• 650 feet

• 600 feet