Quiz about Tangent Geometry

Question 1

Assume that all the lines that appear tangent are tangent. Find the perimeter of the triangle.

Accepted Answer

54

Answer

36

Answer

48

Answer

42

Question 2

A point B is 17cm away from the centre O of a circle. AB is the tangent to the circle at A. Given that AB = 15 cm, find the radius of the circle.

Accepted Answer

8 cm

Answer

9 cm

Answer

2 cm

Answer

16 cm

Question 3

Assume that $$\overline{PQ}$$ is tangent to the circle. The center of the circle is O. Find the value of x to the nearest tenth?

Accepted Answer

13.0

Answer

11.7

Answer

10.8

Answer

14.2

Question 4

Given that B and D are points of tangency to circle with center at C. What is the value of x? Select all the correct answers.

Accepted Answer

1

Answer

-1

Answer

3

Answer

-3

Question 5

What is the value of x?

Accepted Answer

20

Answer

22

Answer

25

Answer

15

Question 6

What is the correct value of x?

Accepted Answer

x = 9

Answer

x = 12

Answer

x = 10

Answer

x = 5

Question 7

Given that B and D are points of tangency to circle C. What is the value of x? Select all the correct answers.

Accepted Answer

2

Accepted Answer

-2

Answer

-3

Answer

4

Answer

3

Question 8

What is the correct equation to solve for x ?

Accepted Answer

tan( 46 ) = 17/x

Answer

sin ( 46 ) = x/17

Answer

tan (46 ) = x/17

Answer

cos (46) = x/17

Question 9

Find the ratio for tanC. (Reduce the fraction)

Accepted Answer

3/4

Answer

36/27

Answer

4/3

Answer

3/5

Question 10

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

Accepted Answer

45 feet

Answer

25 feet

Answer

110 feet

Answer

135 feet

Question 11

Solve for x. Round to the nearest tenth.

Accepted Answer

103.5

Answer

4.7

Answer

55.0

Answer

23.4

Question 12

Solve for BC ?

Accepted Answer

12

Answer

42.5

Answer

28.5

Answer

33.6

Question 13

Solve for AC ?

Accepted Answer

7.3

Answer

11.1

Answer

8.7

Answer

12.2

Question 14

Solve for BC ?

Accepted Answer

5

Answer

4.1

Answer

6.3

Answer

3.8

Question 15

The tangent of an angle is the ratio of $$\frac{opposite\ leg}{adjacent\ leg}$$ .
What is the tangent of angle A?

Accepted Answer

$$ an\ A\ =\ \frac{12}{5}$$

Answer

$$ an\ A\ =\ \frac{12}{13}$$

Answer

$$ an\ A\ =\ \frac{5}{12}$$

Answer

$$ an\ A\ =\ \frac{13}{12}$$

Tangent Geometry

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