A crystal rectangular prism measures 5 inches by 12 inches by 13 inches. The
prism is divided into two congruent pieces by cutting from one edge to an
opposite edge, as shown below.
In square inches, what is the area of the new diagonal face formed by this cut?
A. 60 square inches
B. 65 square inches
C. 156 square inches
D.169 square inches
MA.912.G.5.4: Solve real-world problems involving right triangles.
Line segment VL represents an airplane's velocity. The horizontal component, g, is
called the ground speed, and the vertical component, r, is the rate of climb.
An airplane takes off with a ground speed of 240 miles per hour and a rate of climb
of 130 miles per hour. What is the velocity of the airplane, in miles per hour?
A. 110 miles per hour
B. 202 miles per hour
C. 273 miles per hour
D. 370 miles per hour
MA.912.G.5.4: Solve real-world problems involving right triangles.
Karen, who is 6.2 feet tall, casts a 7.0-foot shadow. She wants to
determine the distance from the top of her head to the end of her
shadow. How far is this distance?
A.
B.
C.
D.
6.6 feet
9.4 feet
10.6 feet
13.2 feet
MA.912.G.5.4: Solve real-world problems involving right triangles.
The sizes of computer monitors and television screens are found by measuring the
length of the diagonal of the rectangular screen. The 15-inch rectangular laptop
computer shown below has a height of 7 inches. What is the length of the screen?
A. 22.3 inches
B. 8 inches
C. 13.3 inches
D. 14.8 inches
MA.912.G.5.4: Solve real-world problems involving right triangles.
A farmer plans to fence in half of his rectangular field by
running the fence diagonally across the field. How many
feet of fence will it require to fence this entire region if his
field is 280 feet by 165 feet?
A. 325 feet
B. 445 feet
C. 770 feet
D. 23,100 feet
MA.912.G.5.4: Solve real-world problems involving right triangles.
A triangular prism made of transparent material can be used to divide a ray of light into the
colors of the spectrum. A rectangular prism was divided into two triangular prisms by cutting
from one edge to an opposite edge, as shown below. The rectangular prism measured 3
inches by 4 inches by 5 inches.
In square inches, what is the area of the new diagonal face formed by this cut?
A. 5 square inches
B. 15 square inches
C. 20 square inches
D. 25 square inches
MA.912.G.5.4: Solve real-world problems involving right triangles.
Juan, who is 5 feet tall, wants to determine the distance from the top of his head
to the end of his shadow. If Juan's shadow is 12 feet long, how far away is the end
of his shadow from the top of his head?
A.
B.
C.
D.
2.4 feet
13 feet
17 feet
60 feet
MA.912.G.5.4: Solve real-world problems involving right triangles.
MA.912.G.5.4: Solve real-world problems involving right triangles.
The sizes of computer monitors and television screens are found by measuring
the length of the diagonal of the rectangular screen. The 50-inch rectangular TV
below has a bottom length of 41 inches. What is the height of the screen?
A. 9 inches
B. 28.6 inches
C. 85.6 inches
D. 819 inches
MA.912.G.5.4: Solve real-world problems involving right triangles.