Test 3 Geometry

What is the height of a flag pole that casts a shadow of 100 feet when the angle of elevation of the sun is 62º? (to the nearest tenth)

• 44.2 feet
• 46.9 feet
• 156.4 feet
• 188.1 feet

What is the area of a sector of a circle with a radius of 6 inches and formed by a central angle that measures 90º?

• 3π in²
• 6π in²
• 9π in²
• 12π in²

• center (6, 2)
• center (6,-2)
• center (-6,2)
• center (-6, -2)

• 36
• 12
• 6
• 3

• 4
• 8
• 16
• 32

The given diagram shows a 5-foot ladder making a 65° angle with the ground and leaning against the side of a building. To the nearest tenth of a foot, what is the distance from the wall to the base of the ladder?

• 1.9 feet
• 2.1 feet
• 4.5 feet
• 10.7 feet

To the nearest tenth of a foot, what is the height at which the ladder rests against the wall?

• 2.1 feet
• 3.7 feet
• 4.5 feet
• 10.7 feet

Convert 128° to radians.

Define a circle.

• A round line
• A set of points that is round
• A set of points centered around a point
• A set of points equidistant from a point

The bold inner parallelogram is a dilation of the black parallelogram. What is the scale factor of the dilation?

• 2
• 3