Trigonometric Functions and Angles of Elevation

The video tutorial covers solving problems involving angles of elevation. It includes examples such as calculating the height of a hill, determining the angle of elevation of the sun, finding the length of a ladder, and calculating the angle of elevation to a control tower. The tutorial uses trigonometric functions like tangent and cosine to solve these problems.

What is the primary trigonometric function used to solve problems involving angles of elevation?

• Sine

• Cosine

• Tangent

• Secant

If the angle of elevation from point A to the top of a hill is 49° and point A is 400 ft from the base, what is the height of the hill?

• 460 ft

• 420 ft

• 400 ft

• 500 ft

Which trigonometric function is used to find an unknown angle when given the opposite and adjacent sides?

• Tangent

• Cotangent

• Sine

• Cosine

A 12.5 m tall telephone pole casts an 18 m shadow. What is the angle of elevation of the sun?

• 30°

• 35°

• 40°

• 45°

What is the length of a ladder that makes a 78° angle with the ground and is 5 ft from the building?

• 24 ft

• 20 ft

• 22 ft

• 26 ft

Which trigonometric function is used when dealing with adjacent and hypotenuse sides?

• Tangent

• Cosecant

• Cosine

• Sine

A person standing 100 ft from a control tower observes an air traffic controller at a window 132 ft high. What is the angle of elevation?

• 52°

• 56°

• 54°

• 50°

If a person's eyes are 5 ft above the ground, how does this affect the calculation of the angle of elevation to a 132 ft tower?

• Add 5 ft to the tower height

• It doesn't affect

• Subtract 5 ft from the tower height

• Multiply the tower height by 5

What is the adjusted height used in the angle of elevation calculation if a person's eyes are 5 ft above the ground and the tower is 132 ft tall?

• 122 ft

• 137 ft

• 132 ft

• 127 ft

Which trigonometric function is used to find the angle of elevation when given the opposite and adjacent sides?

• Tangent

• Cosine

• Secant

• Sine