# DIGITAL SAT MATH PROBLEMS AND SOLUTIONS(Part - 13)

Problem 1 :

Two nearby trees are perpendicular to the ground, which is flat. One of these trees is 10 feet tall and has a shadow that is 5 feet long. At the same time, the shadow of the other tree is 2 feet long. How tall, in feet, is the other tree?

A)  3

B)  4

C)  8

D)  27

Solution :

Problem 2 :

The length of a rectangle’s diagonal is 5√17 , and the length of the rectangle’s shorter side is 5. What is the length of the rectangle’s longer side?

A)  √17

B)  20

C)  15√2

D)  400

Solution :

Problem 3 :

A circle has center O, and points A and B lie on the circle. The measure of arc AB is 45° and the length of arc AB is 3 inches. What is the circumference, in inches, of the circle?

A)  3

B)  6

C)  9

D)  24

Solution :

Problem 4 :

The total cost, in dollars, to rent a surfboard consists of a \$25 service fee and a \$10 per hour rental fee. A person rents a surfboard for t hours and intends to spend a maximum of dollar \$75 to rent the surfboard. Which inequality represents this situation?

A)  10t ≤ 75

B)  10 + 25t ≤ 75

C)  25t ≤ 75

D)  25 + 10t ≤ 75

Solution :

Problem 5 :

The function g is defined by g(x) = x2 + 9. For which value of x is g(x) = 25?

A)  4

B)  5

C)  9

D)  13

Solution :

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