How to use tangent to find the missing leg of a triangle

How to use tangent to find the missing leg of a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find a missing side length in a triangle when traditional methods like the Pythagorean theorem and special triangles are not applicable. It introduces the use of trigonometric functions, specifically the tangent function, to solve the problem. The tutorial guides through identifying the given and required sides, applying the tangent function, and solving the equation to find the missing side length using a scientific calculator.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main challenge in finding the missing side of the triangle as discussed in the first section?

The triangle is a special right triangle.

Traditional methods like the Pythagorean theorem cannot be used.

The triangle has no known angles.

The triangle is not a right triangle.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is identified as suitable for solving the problem in the second section?

Sine

Cosine

Secant

Tangent

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of the problem, which sides of the triangle are relevant for using the tangent function?

Opposite and hypotenuse

Adjacent and hypotenuse

All three sides

Opposite and adjacent

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in calculating the missing side length using the tangent function?

Multiply by the tangent of the angle

Add the tangent of the angle

Divide by the tangent of the angle

Subtract the tangent of the angle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What tool is necessary to complete the calculation of the missing side length?

A scientific calculator

A protractor

A compass

A ruler