MCAS 2000, 10th Grade Math, Questions 37-40

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Question #37

A 25-foot wire attached to an antenna makes a 30o angle with the level ground, as shown on the right.

What is the approximate distance from the base of the antenna to the place where the wire is staked to the ground?

A. 22 ft.

B. 18 ft.

C. 13 ft.

D. 28 ft.

Question #38

Six candidates are running for two open school board seats. How many different pairs of candidates can be elected?

A. 15

B. 12

C. 11

D. 30

Question #39

Suppose that the figure ABC is reflected over the y-axis.
What are the coordinates of the image of point A?

A. (4, -8).

B. (-4, 8).

C. (-8, 4).

D. (8, -4)

Question #40

Triangles ABC and DEF are similar. The lengths of the sides of triangle DEF are 3 times the lengths of the corresponding sides of triangle ABC. How do the areas of the triangles compare?

A. The area of triangle DEF is 3 times the area of triangle ABC.

B. The area of triangle DEF is 4 times the area of triangle ABC.

C. The area of triangle DEF is 6 times the area of triangle ABC.

D. The area of triangle DEF is 9 times the area of triangle ABC.

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