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Trigonometric Functions and Triangle Properties

Trigonometric Functions and Triangle Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find an angle in a right angle triangle using the SOH formula. It begins by introducing the problem and labeling the sides of the triangle as opposite, adjacent, and hypotenuse. The tutorial then applies the sine function (SOH) to solve for the angle X, using the given side lengths. Finally, it demonstrates how to calculate the angle using the inverse sine function and a calculator, resulting in an angle of 42.84 degrees.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of triangle is being discussed in the video?

Equilateral triangle

Isosceles triangle

Scalene triangle

Right angle triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main task in the problem presented in the video?

Determine the size of angle X

Calculate the area of the triangle

Find the length of the hypotenuse

Identify the type of triangle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric ratio is used to solve the problem?

Secant

Sine

Tangent

Cosine

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the sine ratio chosen over cosine or tangent in this problem?

Because it involves the adjacent side

Because it is the only option available

Because it is easier to calculate

Because it involves the hypotenuse and opposite side

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which side of the triangle is opposite to the angle X?

Base

Opposite side

Hypotenuse

Adjacent side

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of labeling the sides of the triangle?

To identify the type of triangle

To determine the area of the triangle

To find the perimeter of the triangle

To correctly apply trigonometric ratios

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for angle X using trigonometry?

Find the length of the hypotenuse

Determine the type of triangle

Calculate the area of the triangle

Label the sides of the triangle

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