Right triangle, Law of Sines & Cosines Review for Test

Front

What is the Law of Sines?

Back

Sin(A)/a = Sin(B)/b = Sin(C)/c

Front

How do you calculate the length of a ladder leaning against a wall given the height of the wall and the angle of elevation?

Back

Use the formula: length = height / sin(angle of elevation).

Front

What is the Law of Cosines?

Back

c² = a² + b² - 2ab * cos(C) where C is the angle opposite side c.

Front

When would you use the Law of Cosines instead of the Law of Sines?

Back

Use the Law of Cosines when you have two sides and the included angle or all three sides.

Front

How do you find the distance from a point to a kite when given the angle of elevation and the length of the string?

Back

Use the formula: distance = string length * cos(angle of elevation).

Front

What is the relationship between the sides and angles in a right triangle?

Back

The side opposite the largest angle is the longest side, known as the hypotenuse.

Front

How do you find the height of a building using a ladder's angle of elevation?

Back

Height = length of ladder * sin(angle of elevation).

Front

What is the formula for finding the area of a triangle using the Law of Sines?

Back

Area = 1/2 * a * b * sin(C) where a and b are sides and C is the included angle.

Front

What is the significance of the angle of elevation in real-world applications?

Back

It helps determine heights and distances in various scenarios, such as construction and navigation.

Front

How can you determine the distance to an object using trigonometric ratios?

Back

By using the tangent function: distance = height / tan(angle of elevation).