Tangent Geometry

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

• 54

• 36

• 48

• 42

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.

• 8 cm

• 9 cm

• 2 cm

• 16 cm

• 11.7

• 10.8

• 13.0

• 14.2

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.

• 1

• -1

• 3

• -3

What is the value of x?

• 22

• 25

• 15

• 20

What is the correct value of x?

• x = 9

• x = 12

• x = 10

• x = 5

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

• 2

• -2

• -3

• 4

• 3

What is the correct equation to solve for x ?

• tan( 46 ) = 17/x

• sin ( 46 ) = x/17

• tan (46 ) = x/17

• cos (46) = x/17

Find the ratio for tanC. (Reduce the fraction)

• 36/27

• 4/3

• 3/4

• 3/5

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? 

• 25 feet

• 45 feet 

• 110 feet 

• 135 feet