Tangent Inverse and Angle of Elevation

This video tutorial explains how to use right triangle trigonometry to solve a practical problem involving a tree casting a shadow. The goal is to find the angle of elevation using the tangent function. The video provides a step-by-step guide on setting up the problem, using the tangent function, and calculating the angle with a graphing calculator. The tutorial concludes with a brief farewell.

What is the main mathematical concept used in this video to solve the problem?

• Calculus

• Algebra

• Right Triangle Trigonometry

• Statistics

What are the given measurements in the problem setup?

• Height of the tree and width of the shadow

• Height of the tree and length of the shadow

• Width of the tree and height of the shadow

• Length of the tree and width of the shadow

What is the height of the tree in the problem?

• 57 ft

• 82 ft

• 34 ft

• 90 ft

What is the length of the shadow cast by the tree?

• 57 ft

• 82 ft

• 34 ft

• 90 ft

What is the assumed angle between the height of the tree and its shadow?

• 30°

• 45°

• 60°

• 90°

What is the significance of a right angle in this problem?

• It is always 30°

• It is always 90°

• It is always 60°

• It is always 45°

What is the relationship between the height of the tree and its shadow in terms of trigonometry?

• They form a right triangle

• They form a circle

• They form a square

• They form a straight line

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

• Sine

• Cotangent

• Cosine

• Tangent

What is the formula for tangent in terms of a right triangle?

• Adjacent over Hypotenuse

• Opposite over Hypotenuse

• Adjacent over Opposite

• Opposite over Adjacent

What is the first step when using a graphing calculator to find the angle?

• Set the calculator to radian mode

• Use the sine function

• Set the calculator to degree mode

• Turn off the calculator