Find the Value of X in Each of the Following

NAME______DATE______PER.______INDIRECT MEASUREMENT Find the value of ‘x’ in each of the following.

1. x = ______A 4 ft 10 ft E 6 ft B

2. x = ______

12 m 28 m Sketch a picture and solve.

3. ______A 6-foot ladder touches the side of a building at a point 5 feet above the ground. At what height would a 15-foot ladder touch the building if it makes the same angle with the ground as the shorter ladder?

4. ______Mark wants to cut a triangular patch to make an emblem. The pattern for the emblem is a triangle with sides 8, 8, and 10 centimeters long. If Mark wants to make the longest side of the emblem 25 centimeters, how long should the other two sides be?

5. ______A flagpole casts a shadow 3.5 meters long. Anita is standing near the pole. Her shadow is 0.75 meters long. Anita’s height is 1.5 meters. How tall is the flagpole? A#9-5 PG. 2

6. ______Mrs. Krauss is 5 feet 6 inches tall. She notices that her shadow is 3 feet long and the shadow of a nearby water tower is 75 feet long. Mrs. Krauss would like to know the height of the water tower.

7. ______On a map, the length from Cleveland to New York is 7 cm, from Cleveland to Atlanta is 10 cm, and from New York to Atlanta is 13 cm. If on a larger map the length from Cleveland to New York is 17.5 cm, what are the other lengths?

8. ______A painter needs to know the height of a building to estimate the amount of paint needed for the front side. When the building cast an 18 ft shadow, the 6 ft tall painter casts a 3 ft long shadow. How tall is the building?

9. ______Charlie walks away from a tree along its shadow until his head is in line with the top of the tree’s shadow. Charlie is standing 15 feet from the base of the tree and 6 feet from the end of the shadow. Charlie is 5 feet tall. What is the height of the tree?

10. ______To find the height of a tree, Wyatt places a mirror so that he can see the top of the tree in the mirror. The mirror is 3 ft from him and 7.5 ft from the tree. If Wyatt is 5.5 ft tall, how tall is the tree? PRACTICE 11. Maggie is standing in her front yard and measures the length of the shadow she casts, as well as the shadow, cast by her house. Her shadow is 8 feet long and the shadow of the house is 60 feet, long. If Maggie is 5 feet 2 inches tall, how tall is her house to the nearest foot?

A. 39 ft

B. 41 ft

C. 59 ft

D. 93 ft

12. A 10-foot-high basketball hoop casts a 12.5-foot-long shadow at the same time a mailbox casts a 5-foot-long shadow. What is the height of the mailbox?

A. 3.5 ft

B. 4 ft

C. 4.5 ft

D. 6 ft

13. The oak tree outside of Brian’s house casts a 12-foot shadow at a certain time of day. At the same time, Brian, who is 6 feet tall, casts a 2-foot shadow. How tall is the tree?

A. 15 ft

B. 18 ft

C. 24 ft

D. 36 ft

A. {6, -1}