Free Printable Week 27 Quiz

1.

Find the area of a triangle with adjacent sides 11ft, 13ft and included angle of $72\degree$ . Round to the nearest hundredth.

a)

72.71 $ft^2$

b)

58.25 $ft^2$

c)

67.93 $ft^2$

d)

65.28 $ft^2$

2.

Find the area of a triangle with adjacent sides 8m, 5m, and an included angle of 53 $\degree$ . Round to the nearest tenth.

a)

16 $m^2$

b)

12 $m^2$

c)

23 $m^2$

d)

9 $m^2$

3.

Find the area of a triangle with adjacent sides of 24m and 18m and an included angle of 112 $\degree$ . Round to the nearest hundredth.

a)

112.42 $m^2$

b)

200.88 $m^2$

c)

98.25 $m^2$

d)

76.26 $m^2$

4.

Find the area of a triangle with adjacent sides of 30ft, 10ft and an included angle 105 $\degree$

a)

125.7 $ft^2$

b)

145.5 $ft^2$

c)

135.9 $ft^2$

d)

97.2 $ft^2$

5.

Find the area of triangle with adjacent sides of 4cm and 10cm and an included angle of 67 $\degree$

a)

18.4 $cm^2$

b)

15.4 $cm^2$

c)

12.7 $cm^2$

d)

19.2 $cm^2$

6.

Find the area of a triangle with adjacent sides of of 37m and. 28m and included angle of 82 $\degree$ . Round to the

a)

512.82 $m^2$

b)

500.72 $m^2$

c)

462.91 $m^2$

d)

362.97 $m^2$

7.

If the area of a triangle is 115 $ft^2$ Find the angles between two adjacent sides if the 13ft and 19ft

a)

$57.92\degree,122.08\degree$

b)

$45.97\degree,\ 134.03\degree$

c)

$68.43\degree,111.57\degree$

d)

$75.72\degree,\ 104.28\degree$

8.

If the area of a triangle is $22m^2$ , find the angles between two adjacent sides if the sides measure 8m and 12m

a)

$37.2\degree,142.8\degree$

b)

$52.7\degree,\ 127.3\degree$

c)

$22.8\degree,157.2\degree$

d)

$27.4\degree,\ 152.6\degree$

9.

Using Heron’s formula, find the area of a triangle with sides a=10, b=5,c=12.

a)

$24.5cm^2$

b)

$52.7cm^2$

c)

$42.8cm^2$

d)

$62.7cm^2$

10.

Using for Heron’s formula find the area of a triangle with side a=8, b=10, and c=16.

a)

$42.7m^2$

b)

$32.7m^2$

c)

$62.6m^2$

d)

$82.7m^2$

11.

Using Heron’s formula, find the area of a triangle with sides a=7, b=13, and c=19

a)

$28.15cm^2$

b)

$15.97cm^2$

c)

$21.71cm^2$

d)

$33.9cm^2$

12.

Using Heron’s formula, find the area of a triangle with sides a=9, b=11, and c=14

a)

$13.6ft^2$

b)

$49.5ft^2$

c)

$15.6ft^2$

d)

$11.7ft^2$

13.

Which of the following is Heron's Formula for finding area of triangle

a)

$A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}$

b)

$A=\sqrt{s\left(s+a\right)\left(s+b\right)\left(s+c\right)}$

c)

$A=\sqrt{\left(s+a\right)\left(s+b\right)\left(s+c\right)}$

d)

$A=\sqrt{s\left(s\times a\right)\left(s\times b\right)\left(s\times c\right)}$

14.

Which of the following is the formula for finding the area of a triangle using the law of sine?

a)

$A=\frac{1}{2}ab\sin C$

b)

$A=\frac{1}{2}+a+b+\sin C$

c)

$A=\frac{1}{2}-a-b-\sin C$

d)

$A=\frac{1}{2}+ab-\sin C$

15.

The Gateway Arch in St. Louis is 630ft high. If a person is walking away from the Arch until the angle of elevation to the top is $56\degree$ . How far from the arch is the person?

a)

425.7ft

b)

375.6ft

c)

284.9ft

d)

486.1ft

16.

The angle of elevation to the top of a mountain from the bottom of a ski lift is $48\degree$ . A skier rides 1400ft on the ski lift to get to the top. Find the altitude of the mountain.

a)

1075ft

b)

962ft

c)

1036ft

d)

879ft

17.

A ladder rests against a building at a point that is 68ft up from the ground. If the ladder makes a $38\degree$ Angle with the ground, what is the length of the ladder? Round to t

a)

110.72ft

b)

99.26ft

c)

109.68ft

d)

102.53ft

18.

A ladder rest against a building at a point that is 50 ft up from the ground. If the ladder makes a $40\degree$ angle with the ground , how far from the base of the building is the foot of the ladder? Round to t

a)

61.25ft

b)

33.72ft

c)

91.67ft

d)

59.52ft

19.

What is the angle of elevation of the sun when a tree 7m tall casts a shadow 9m long. Round to the nearest hundredth

a)

$18.42\degree$

b)

$37.95\degree$

c)

$28.12\degree$

d)

$39.48\degree$

20.

A building 62 feet tall casts a shadow 21 meters long. At what angle is the sun shining on the building?

a)

19.80

b)

18.71

c)

70.20

d)

71.29

Week 27 Quiz

Total questions: 20

Worksheet time: 2hrs 40mins

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