NAME________________________________________DATE ...



NAME______________________________________DATE_________________PER.______

INDIRECT MEASUREMENT

Find the value of ‘x’ in each of the following.

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|x = __________ | |

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|x = __________ | |

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Sketch a picture and solve.

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|__________ |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? |

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|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? |

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|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? |

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|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. |

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|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? |

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|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? |

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|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? |

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|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? |

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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}

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A#9-5

x

6 ft

10 ft

A

C

B

E

D

4 ft

9 m

28 m

12 m

x

A#9-5 PG. 2

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