Estimating the Height of a Building

The video tutorial explains how to estimate the height of a building using trigonometry. Two students measure angles of elevation from different points to the top of the building. By labeling vertices and calculating angles, they apply the law of sines to find side lengths. Finally, they use the sine function to determine the building's height, concluding that it is approximately 242.58 feet.

What is the angle of elevation from the point 150 feet closer to the building?

• 51 degrees

• 60 degrees

• 35 degrees

• 45 degrees

Which two angles are supplementary in the problem setup?

• 35 and 129 degrees

• 51 and 129 degrees

• 35 and 51 degrees

• 90 and 51 degrees

What is the measure of the small acute angle in the obtuse triangle?

• 16 degrees

• 35 degrees

• 39 degrees

• 51 degrees

Which trigonometric law is used to find the length of side c?

• Law of Tangents

• Pythagorean Theorem

• Law of Sines

• Law of Cosines

What is the approximate length of side c calculated using the law of sines?

• 150 feet

• 422.92 feet

• 500 feet

• 300 feet

What is the purpose of using the law of sines in this problem?

• To determine the complementary angles

• To find the height directly

• To find the length of a side in the obtuse triangle

• To calculate the angle of elevation

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

• Cosine

• Tangent

• Secant

• Sine

What is the angle of elevation used to calculate the height of the building?

• 90 degrees

• 16 degrees

• 51 degrees

• 35 degrees

What is the approximate height of the building as calculated?

• 242.58 feet

• 150 feet

• 422.92 feet

• 300 feet

What is the final conclusion about the height of the building?

• It is more than 300 feet

• It is exactly 250 feet

• It is less than 200 feet

• It is approximately 242.58 feet