Learn to solve a word problem using the trigonometric ratios

The video tutorial explains a scenario involving a micro bike trip to Gemini Bridges Trail in Moab, UT. It sets up a problem where a person is standing 60 meters from a canyon cliff, with natural arch bridges 100 meters up the canyon wall. The tutorial guides viewers through calculating the angle of elevation to the top of the bridge using trigonometry, specifically the tangent function and its inverse. The process involves understanding the geometry of the situation, setting up a right triangle, and using a scientific calculator to find the angle, which is approximately 57.7 degrees.

What is the distance between Nabuco and the base of the canyon cliff?

• 70 meters

• 60 meters

• 50 meters

• 80 meters

How high are the natural arch bridges above the canyon floor?

• 105 meters

• 95 meters

• 90 meters

• 100 meters

What is the angle of elevation in relation to a horizontal line?

• Perpendicular to the horizontal

• Below the horizontal

• Above the horizontal

• Parallel to the horizontal

Which trigonometric function is used to find the angle of elevation in this scenario?

• Tangent

• Cotangent

• Cosine

• Sine

What is the calculated angle of elevation to the nearest tenth of a degree?

• 59.1 degrees

• 57.7 degrees

• 56.5 degrees

• 58.9 degrees