Mixed Practice : All of Unit 5

Front

What is the formula to find the height of a lighthouse using the angle of elevation?

Back

Height = Distance from base * tan(angle of elevation)

Front

What is the Law of Cosine?

Back

The Law of Cosine states that in any triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides minus twice the product of those lengths and the cosine of the included angle.

Front

What is the height of a lighthouse if a yacht is 90 feet away and the angle of elevation is 26 degrees?

Back

Approximately 45 feet.

Front

What is the Law of Sine?

Back

The Law of Sine states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all three sides and angles.

Front

What is a 45°-45°-90° triangle?

Back

A special right triangle where the angles are 45 degrees, 45 degrees, and 90 degrees, and the sides are in the ratio 1:1:√2.

Front

What is the length of y in a 45°-45°-90° triangle if one leg is 5?

Back

5√2.

Front

What is the formula to find an angle measure when you know the lengths of all three sides of a triangle?

Back

Use the Law of Cosine.

Front

What is the distance between a yacht and the top of a lighthouse if the yacht is 90 feet from the base and the angle of elevation is 26 degrees?

Back

Approximately 100 feet.

Front

What is the formula for the Law of Tangent?

Back

tan(angle) = opposite/adjacent.

Front

What is the height of a lighthouse if the distance from the yacht is 90 feet and the angle of elevation is 26 degrees?

Back

Approximately 45 feet.