NAPT - Navy Advanced Programs Geometric and Trigonometric Principles Questions and Answers

Question 1

A ladder is placed against a vertical wall such that its base is 7 feet away from the wall and its top reaches a window 24 feet high. What is the length of the ladder?

Accepted Answer

25 feet

Answer

31 feet

Answer

17 feet

Answer

23 feet

Question 2

In a 30-60-90 right triangle, which of the following statements is true regarding the lengths of its sides?

Accepted Answer

The hypotenuse is twice the length of the shorter leg.

Answer

The hypotenuse is twice the length of the longer leg.

Answer

The side opposite the 60° angle is twice the length of the side opposite the 30° angle.

Answer

The two legs are equal in length.

Question 3

A communications tower casts a shadow that is 75 meters long when the sun's angle of elevation is 45°. What is the height of the tower?

Accepted Answer

75 meters

Answer

50 meters

Answer

100 meters

Answer

75√2 meters

Question 4

A circular radar screen has a circumference of 12π inches. What is the area of the screen?

Accepted Answer

36π square inches

Answer

144π square inches

Answer

24π square inches

Answer

12π square inches

Question 5

What is the exact value of sin(60°)?

Accepted Answer

√3/2

Answer

1/2

Answer

√2/2

Answer

√3/3

Question 6

Which of the following regular polygons has a sum of interior angles equal to 1080°?

Accepted Answer

Octagon (8 sides)

Answer

Hexagon (6 sides)

Answer

Decagon (10 sides)

Answer

Nonagon (9 sides)

A ladder is placed against a vertical wall such that its base is 7 feet away from the wall and its top reaches a window 24 feet high.What is the length of the ladder?

A ladder is placed against a vertical wall such that its base is 7 feet away from the wall and its top reaches a window 24 feet high.
What is the length of the ladder?