Indirect Measurement Unit 7.5 Pages

Warm Up Problems Fill in the missing value 1. 6 = 18 t k = = 42 8 n t = 15 k = 5 n = 56

Indirect Measurement indirect measurement Objective: Students will learn how to take two similar objects and find proportional sizes for each. We will learn how to use indirect measurement to find unknown information.

Vocabulary Vocabulary Indirect Measurement: a way to find a measurement for an object that is too large to using a similar shaped object’s measurements.

Similar shapes can help us determine unknown information: We have used  Cross Cutting, and  Equivalent sides and angles to do this already. “Indirect Measurement” is another way to find measurement for objects that are too large, or too far away from us to measure.

If I am standing in the shadow of a very tall tree, I can measure my own height and the length of my shadow within the tree’s shadow to make a fraction: 4 ft 5 Height Length Now I can write an equivalent one for the tree by using a variable for it’s height and the length of the tree’s shadow to solve for the unknown height. t ft 125 The Tree’s Height is: 100 feet

Height Length Eifel Tower Person 860 ft. 12 ft. 6 ft. h The Tower’s Height is: 430 feet

Height Length Statue Person 610 ft.12 ft. 6 ft. h The Tree’s Height is: 305 feet

Height Length lighthouse Person 36 ft. 6 ft. 3 ft. h The lighthouse’s Height is: 18 feet

Height Length Tree Person 7 ft.2 ft. 6 ft. h The Tree’s Height is: 21 feet

Height Length Flag Pole Person 30 ft. 10 ft. 5 ft. h The Flagpole’s Height is: 15 feet

Height Length The building’s height is: 180 mm Bob’s parakeet is 100mm tall. It casts a shadow of 250mm long. Anne’s Cockatiel is sitting next to the parakeet with a shadow at 450 mm long. How tall is Anne’s Cockatiel?

Height Length The building’s height is: 174 meters If Mrs. Wack-a-doo goes outside and the building is casting a 348 meter long shadow. And her shadow is 6 meters long, if she is 3 meters tall how tall is the building?

Homework 7.5 page Due:  2-8