Trigonometric Ratios and Applications

This video tutorial covers solving problems using right angle triangles and trigonometric ratios. It includes examples such as calculating a tree's height from its shadow, determining the angle of inclination of Baldwin Street, finding the height of a cherry picker platform, and calculating the angle of a gable roof. Each example demonstrates how to isolate and draw a right angle triangle from given information and apply the appropriate trigonometric ratio to solve the problem.

What is the first step in solving problems using right angle triangles and trigonometric ratios?

• Calculate the angle

• Isolate the right angle triangle

• Draw the triangle

• Identify the hypotenuse

Which trigonometric ratio is used when you know an angle and the adjacent side?

• Secant

• Tangent

• Cosine

• Sine

What is the first step in solving a problem involving a right angle triangle?

• Calculate the hypotenuse

• Identify the given information

• Draw the triangle

• Choose a trigonometric ratio

What is the purpose of using trigonometric ratios in right angle triangles?

• To find the area of the triangle

• To measure the perimeter

• To calculate angles and sides

• To determine the type of triangle

What information is needed to calculate the height of a tree using its shadow?

• The length of the shadow and the angle of the sun's rays

• The height of the tree and the angle of the sun's rays

• The angle of the sun's rays and the distance from the tree

• The length of the shadow and the height of the tree

Which trigonometric ratio is used to find the height of a tree when given the shadow length and angle?

• Sine

• Tangent

• Cosine

• Cotangent

What is the height of the tree if the shadow is 10.2 m long and the angle is 35°?

• 9.0 m

• 6.5 m

• 7.1 m

• 8.3 m

What is the length of the shadow if the tree is 7.1 m tall and the angle is 35°?

• 10.2 m

• 9.2 m

• 11.2 m

• 12.2 m

What is the height of the tree if the shadow is 10.2 m long and the angle is 35°?

• 6.9 m

• 7.1 m

• 7.3 m

• 7.5 m

What is Baldwin Street known for?

• Being the steepest residential street

• Having the most trees

• Being the longest street

• Having the most curves