Benchmark III Review

A tree cast a shadow 132 ft. The angle of elevation is 22 degrees. Which is closer to the distance from the top of the tree to the tip of the shadow?

• 326.7 ft

• 142.4 ft

• 352.4 ft

• 122.3 ft

Answer explanation

The flag pole is 40 ft. tall. The angle of elevation from the ground to the top of the flag pole is 30 degrees. Which of the following is closest to the length of the shadow?

• 56.6 ft.

• 20 ft.

• 69.3 ft.

• 34.6 ft.

Answer explanation

Triangle DEF is a right triangle. What is the closest to the length of EF?

• 14

• 225

• 15

• 19

Given an equilateral triangle with side lengths 16 cm. What is the height of the triangle?

• 16

• 8

• 8 sqrt 3

• 16 sqrt. 3

Answer explanation

A tree casts a shadow that is 14 ft. long. What is the approximate height of the pine tree?

• 7 ft.

• 15 ft.

• 12 ft.

• 8 ft.

Answer explanation

The interior angles of a heptagon have a sum of ______degrees.

• 1080 degrees

• 720 degrees

• 540 degrees

• 900 degrees

Answer explanation

(n-2)180

(7-2)180

Quadrilateral DEFG is a rhombus. If GE= 24 ft and FD = 10 ft. What is the perimeter of the rhombus?

• 13 ft

• 26 ft

• 52 ft

• 104 ft

An exterior angle of this shape would measure _________ degrees.

• 36 degrees

• 1440 degrees

• 144 degrees

• 360 degrees

Answer explanation

360/10=36

The consecutive angles are congruent in a rhombus.

• True

• False

What is the measure of angle H?

• 47

• 2

• 131

• 178

Answer explanation

27+x+119+3x+71+63=360

plug in desmos and find x

plug into angle H (3x+71)

angle H = 3(20)+71