Trapezoid Height Calculation Using Trigonometry

The video tutorial explains how to find the height of an isosceles trapezoid using trigonometric functions. It begins by setting up the problem with given dimensions and angles, then applies the tangent function to calculate the height. The process involves drawing an altitude, forming a right triangle, and using a calculator to find the tangent of a 50-degree angle. The final height of the trapezoid is calculated to be approximately 4.477 units.

What is the main goal of the video tutorial?

• To calculate the perimeter of a trapezoid

• To find the area of a trapezoid

• To determine the volume of a trapezoid

• To find the height of a trapezoid using trigonometry

What is the length of the longer base of the trapezoid?

• 10

• 18

• 12

• 15

What is the significance of the trapezoid being isosceles?

• It has equal diagonals

• It has a right angle

• It has two equal angles and congruent legs

• It has two equal bases

What is the angle given at the bottom left corner of the trapezoid?

• 30 degrees

• 45 degrees

• 60 degrees

• 50 degrees

How is the remaining length of the base divided after drawing the altitude?

• It is divided into three equal parts

• It is divided into two equal parts

• It is not divided

• It is divided into four equal parts

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CCSS.6.G.A.3

What is the length of each segment after dividing the remaining base?

• 4

• 3

• 2

• 5

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CCSS.HSG.SRT.C.8

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

• Cotangent

• Tangent

• Cosine

• Sine

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What is the value of the tangent of 50 degrees used in the calculation?

• 1.1918

• 1.7321

• 0.8391

• 0.6428

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CCSS.HSG.SRT.C.8

What is the final calculated height of the trapezoid?

• 3.477

• 6.477

• 4.477

• 5.477

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CCSS.HSG.SRT.C.8

What is the quickest method mentioned to solve for the height?

• Using a compass

• Using a ruler

• Using a protractor

• Using cross multiplication

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CCSS.HSG.SRT.C.8