Quiz about Right Triangles Problem Solving

Question 1

The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder?

Accepted Answer

10 ft

Answer

14 ft

Answer

17 ft

Answer

100 ft

Question 2

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

Accepted Answer

87 ft

Answer

63 ft

Answer

65 ft

Answer

74 ft

Question 3

Which set of sides would make a right triangle?

Accepted Answer

5,12,13

Answer

4,5,6

Answer

8,10,12

Answer

5,10,12

Question 4

Find the length of side y.

Accepted Answer

76.34 cm

Answer

22.32 cm

Answer

36.5 cm

Answer

87.76 cm

Question 5

Right triangle ABC is shown.

Select all expressions which are equal to the length of side BC .

Accepted Answer

$$\sqrt[]{6^2-4.9^2}$$

Accepted Answer

$$\frac{4.9}{ an\left(55 ight)}$$

Accepted Answer

$$6 imes\cos\left(55 ight)$$

Answer

$$\frac{4.9}{\sin\left(55\right)}$$

Answer

$$\frac{6}{\cos\left(55\right)}$$

Question 6

Find a.

Accepted Answer

$$3\sqrt{3}$$

Answer

3

Answer

6

Answer

$$\sqrt{3}$$

Question 7

Which trig function do you use?

Accepted Answer

Sine

Answer

Cosine

Answer

Tangent

Question 8

Right triangle ABC is shown. Select all expressions which are equal to the length of side BC.

Accepted Answer

$$\sqrt[]{6^2-4.9^2}$$

Accepted Answer

$$\frac{4.9}{ an\left(55 ight)}$$

Accepted Answer

$$6 imes\cos\left(55 ight)$$

Answer

$$\frac{4.9}{\sin\left(55\right)}$$

Answer

$$\frac{6}{\cos\left(55\right)}$$

Question 9

What is the length of side x?

Accepted Answer

7.44 cm

Answer

6.57 cm

Answer

7 cm

Answer

26.33 cm

Question 10

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

Accepted Answer

13.6 in

Answer

7.5 in

Answer

12.4 in

Answer

14.3 in

Question 11

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Accepted Answer

27 feet

Answer

25 feet

Answer

26 feet

Answer

28 feet

Question 12

Find, to the nearest degree, the angle which the sun's rays make with the ground when a flagpole 40 feet high casts a shadow 30 feet long.

Accepted Answer

53o

Answer

48o

Answer

37o

Answer

28o

Right Triangles Problem Solving

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