Solving for h in Triangles

Solving for h in Triangles

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

Created by

Mia Campbell

FREE Resource

This video tutorial explains how to solve a right triangle problem involving two smaller triangles within a larger triangle. The goal is to find the value of h using given angles and side lengths. The instructor uses trigonometric ratios, specifically tangent, to set up equations for both the small and large triangles. By equating these expressions, the instructor solves for the unknown variables, x and h, providing both exact and approximate solutions. The tutorial emphasizes the importance of labeling and systematically solving geometric problems.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main objective of the problem discussed in the video?

To measure the angles of the triangle

To determine the value of h

To calculate the area of the triangle

To find the value of x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric ratio is used to find the first equation involving h?

Sine

Cosine

Tangent

Secant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of tangent of 60 degrees used in the first equation?

2

1/2

Root 3

1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is a second equation necessary to solve for h?

To calculate the area

To find the hypotenuse

To solve for two variables

To verify the first equation

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the tangent of 30 degrees used in the second equation?

2

1

Root 3

1/Root 3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to eliminate the fractions in the second equation?

Addition

Multiplication

Subtraction

Division

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x found after solving the equations?

200

250

150

300

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