Exploring the Law of Sines and Cosines

The video tutorial explains how to find angle RPV in a triangle using the law of cosines, given the side lengths calculated with the Pythagorean theorem. It also covers measuring the elevation of a mountain by using trigonometric principles, specifically the law of sines and SOHCAHTOA, to determine unknown side lengths and angles.

What theorem is used to find the side lengths in the triangle calculations?

• Law of Sines

• Euler's Formula

• Law of Cosines

• Pythagorean Theorem

Which law is applied to find angle theta when three side lengths are known?

• Euler's Formula

• Pythagorean Theorem

• Law of Cosines

• Law of Sines

What is the correct expression for calculating angle theta using the law of cosines?

• cos(theta) = (a^2 - b^2 - c^2) / 2ab

• cos(theta) = (a^2 + b^2 + c^2) / 2ab

• cos(theta) = (c^2 - a^2 - b^2) / 2ab

• cos(theta) = (a^2 + b^2 - c^2) / 2ab

What is the correct way to find an angle in a right triangle when one side length is known?

• Using the law of sines

• Using sohcahtoa

• Using the law of cosines

• Using the Pythagorean theorem

What is the angle BTN in the mountain problem?

• 41.2 degrees

• 48.8 degrees

• 90 degrees

• 11.5 degrees

How is the angle ATB calculated in the mountain problem?

• Subtracting angle BTN from ATN

• Subtracting angle ATN from BTN

• Adding angles BTN and ATN

• Subtracting angle BTN from 90

What law is used to find the length of BT in the mountain problem?

• Law of Cosines

• Euler's Formula

• Law of Sines

• Pythagorean Theorem

What is the height of the mountain calculated using sohcahtoa?

• 3660.62 meters

• 2745 meters

• 2411.2 meters

• 1473 meters

What trigonometric function is used to calculate the height of the mountain in triangle BTN?

• Tangent

• Cosine

• Sine

• Cotangent

What is the length of side BT in the mountain problem?

• 3660.62 meters

• 2745 meters

• 2411.2 meters

• 1473 meters