PreCalc Unit 6 Day 1 - Trig Ratios and SRTs

​Page 1 in packet

Multiple Choice

Which of these sides is the hypotenuse?

• 8

• 15

• 17

Multiple Choice

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

Page 2

Multiple Choice

$$\sqrt{50}$$  

• $$5\sqrt{2}$$  

• $$\sqrt{5}$$   

• $$2\sqrt{5}$$  

• $$25\sqrt{2}$$  

Multiple Choice

$$\sqrt{300}$$  

• $$3\sqrt{10}$$  

• $$2\sqrt{150}$$  

• $$100\sqrt{3}$$  

• $$10\sqrt{3}$$  

Try some practice on pg 2 of your packet

Answers on pg 3 to check

Pg 3

Pg 4

Pg 5

Multiple Choice

If you are given the opposite side and hypotenuse, which trig function should you use?

• sine
• cosine
• tangent
• cotangent

Multiple Choice

If you are given the two sides that are not the hypotenuse, which trig function should you use?

• sine
• cosine
• tangent
• cotangent

Multiple Choice

• 14/48
• 48/50
• 14/50
• 48/14

Multiple Choice

Choose the correct ratio.

• cos(33)=x/14
• sin(33)=x/14
• cos(33)=14/x
• sin(33)=14/x

Multiple Choice

Choose the correct ratio.

• sin(37)=x/14
• cos(37)=x/14
• tan(37)=x/14
• sin(37)=14/x

Multiple Choice

Use trig ratios (SOH CAH TOA) to solve for x 

• 5.0
• 6.1
• 7.7
• 6.4

Multiple Choice

Solve for x.

• 24.20
• 4.92
• 290.4
• 29.75

Multiple Choice

What equation can be used to solve for x?

• Sin(40°)= x/40 
• Sin(40º)=x/19
• Cos(40º)=x/19
• Tan(40°)=19/x

Multiple Choice

Find the measurement of the missing side indicated

• 4.39
• 3.21
• 2.19
• 2.05

Multiple Choice

What is the length of side x?

• 6.57 cm
• 7 cm
• 7.44 cm
• 26.33 cm

Pg 5

Pg 5

Multiple Choice

Set up an equation that could be used to solve for the variable.

Multiple Choice

Find the measure of the missing angle.

• 64^o
• 26^o
• 61^o
• 8^o

Practice on page 4

Work with your partner to do at least 3 practice problems on pg 4 (answers at bottom of page to check)

Pg 6

Multiple Choice

At point on the ground 50 feet from the front of a tree, the angle of elevation to the top of the tree is 48^𝑜 . Find the height of the tree.

Which of the following is the correct diagram for the problem?

Multiple Choice

A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall. The ladder makes an angle of 74^𝑜 with the level ground. How high on the wall does the ladder reach?

Which of the following is the correct diagram for the problem?

Pg 7

Multiple Choice

What type of special triangle is this?

• 45°-45°-90°
• 30°-60°-90°
• Equiangular
• Equilateral

Multiple Choice

What type of special triangle is this?

• 45°-45°-90°
• 30°-60°-90°
• Isosceles
• Obtuse

Multiple Choice

What is the measure of side c?

• 7

• $$\frac{7}{\sqrt{2}}$$

• 7√2

• 14

Multiple Choice

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

Multiple Choice

What is the length of y in this 45-45-90 triangle?

• 8√2
• 4√2
• 4
• 8

Multiple Choice

Find the value of x.

• 2

• $$4\sqrt{3}$$

• 4

• $$2\sqrt{3}$$