Trigonometry in Real-World Scenarios

Trigonometry in Real-World Scenarios

Assessment

Interactive Video

Mathematics, Physics

7th - 10th Grade

Hard

Created by

Ethan Morris

FREE Resource

The video tutorial presents a scenario where a Men In Black agent must shoot a laser at an alien atop the Eiffel Tower. The problem is formulated using a right triangle, with the height and base of the triangle given. The tutorial explains how to use trigonometric functions, specifically the tangent and inverse tangent, to calculate the angle at which the agent should aim. The process involves setting up the problem, understanding the trigonometric relationships, and using a calculator to find the angle, which is approximately 80.54 degrees.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the height of the Eiffel Tower where the alien is standing?

324 meters

200 meters

150 meters

400 meters

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of the Men In Black agent in this scenario?

To shoot the alien with a laser gun

To negotiate with the alien

To evacuate the city

To climb the Eiffel Tower

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How far is the Men In Black agent standing from the base of the Eiffel Tower?

30 meters

54 meters

100 meters

75 meters

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape is formed when considering the height of the tower and the distance of the agent?

Right triangle

Equilateral triangle

Scalene triangle

Isosceles triangle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used to find the angle in this scenario?

Cotangent

Tangent

Cosine

Sine

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for tangent in terms of a right triangle?

Opposite over Hypotenuse

Adjacent over Hypotenuse

Opposite over Adjacent

Adjacent over Opposite

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using the inverse tangent function in this problem?

To find the length of the hypotenuse

To calculate the angle

To determine the height of the tower

To measure the distance from the base

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