Trigonometric Functions and Right Triangles

The video tutorial explains how to determine the height of a radio tower using trigonometry. It sets up the problem by describing the location of the tower and the angles of elevation and depression from a building. The tutorial identifies two right triangles formed by these angles and uses the tangent function to calculate the height of the tower. The process involves using a calculator to ensure the angles are in degree mode and finding the approximate height of the tower.

What is the distance between the radio tower and the building?

• 300 feet

• 425 feet

• 600 feet

• 500 feet

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CCSS.HSG.SRT.C.8

What is the angle of elevation from the window to the top of the tower?

• 45 degrees

• 38 degrees

• 50 degrees

• 30 degrees

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CCSS.2.G.A.1

What geometric shape is used to solve the problem?

• Square

• Right Triangle

• Rectangle

• Circle

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CCSS.HSG.SRT.C.8

Which trigonometric function is used to find the height of the tower?

• Sine

• Secant

• Cosine

• Tangent

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CCSS.HSG.SRT.C.6

What is the length of the adjacent side in the right triangles?

• 600 feet

• 500 feet

• 425 feet

• 700 feet

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CCSS.HSG.SRT.C.8

How do you calculate y sub one using the tangent function?

• 425 divided by tangent 30 degrees

• 425 times tangent 30 degrees

• 425 plus tangent 30 degrees

• 425 minus tangent 30 degrees

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CCSS.HSG.SRT.C.8

How do you calculate y sub two using the tangent function?

• 425 minus tangent 38 degrees

• 425 plus tangent 38 degrees

• 425 times tangent 38 degrees

• 425 divided by tangent 38 degrees

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CCSS.8.G.B.8

What is the total height of the tower after calculation?

• 650.00 feet

• 500.00 feet

• 600.00 feet

• 577.42 feet

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CCSS.HSG.SRT.C.8

What should you check on the calculator before performing the final calculation?

• Ensure it is in radian mode

• Ensure it is in degree mode

• Ensure it is in scientific mode

• Ensure it is in standard mode

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CCSS.HSG.SRT.C.8

What is the final step in calculating the height of the tower?

• Add the results of y sub one and y sub two

• Subtract the results of y sub one and y sub two

• Divide the results of y sub one and y sub two

• Multiply the results of y sub one and y sub two

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CCSS.HSG.SRT.C.8