Unit 7 Review of Right Triangle Trigonometry

Unit 7 Review of Right Triangle Trigonometry

By Steven Giesting

Multiple Choice

Solve for the missing side of the right triangle. Leave answer in simplified radical form

• $$4\ \sqrt[]{5}$$  

• $$4\ \sqrt[]{13}$$  

• $$2\ \sqrt[]{2}$$  

• $$8\ \sqrt[]{2}$$  

Multiple Choice

Find the hypotenuse of the right triangle. Leave answer in simplified radical form

• $$\sqrt[]{30}$$  

• $$3\ \sqrt[]{5}$$  

• $$3\ \sqrt[\ ]{13}$$  

• $$\sqrt[]{6}$$  

Multiple Choice

Classify the triangle by its angles

• acute

• right

• obtuse

• no triangle possible

​Special Right Triangles

Multiple Choice

What is the length of c in the triangle shown?

• $$5\ \sqrt[]{2}$$  

• $$5\ \sqrt[]{3}$$  

• 10

• 5

Multiple Choice

What is the length of b in the triangle shown?

• $$5\ \sqrt[]{2}$$  

• $$5\ \sqrt[]{3}$$  

• 10

• 5

Multiple Choice

How long is $$\overline{SV}$$  

• 6

• $$6\ \sqrt[]{2}$$  

• $$6\ \sqrt[]{3}$$  

• 12

Multiple Choice

How long is x 

• 8

• $$16\ \sqrt[]{2}$$   

• $$8\ \sqrt[]{2}$$   

• $$8\ \sqrt[]{3}$$  

​Trigonometric Ratios

Multiple Choice

Write the ratio for sin B?

• $$\frac{3}{4}$$  

• $$\frac{3}{5}$$  

• $$\frac{4}{3}$$  

• $$\frac{4}{5}$$  

Multiple Choice

Write the ratio for cos B?

• $$\frac{3}{4}$$  

• $$\frac{3}{5}$$  

• $$\frac{4}{3}$$  

• $$\frac{4}{5}$$  

Multiple Choice

Write the ratio for tan A?

• $$\frac{3}{4}$$  

• $$\frac{3}{5}$$  

• $$\frac{4}{3}$$  

• $$\frac{4}{5}$$  

Fill in the Blank

What is the measure of $$\angle A?$$   Round answer to the nearest degree

Fill in the Blank

What is the length of e? Round answer to the nearest tenth

Fill in the Blank

How far away is the man from the building? Round answer to the nearest tenth