17. When Alonzo who is 5'11" tall, stands next to a basketball goal, his shadow is 2'long, and the basketball goalsshadow is 4'4" long. About how tall is the basketball goal?

Answered: 17. When Alonzo who is 5'11" tall,…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter6: Ratio, Proportion, And Probability

Section6.5: Similarity And Measurement

Problem 3C

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17. When Alonzo who is 5'11" tall, stands next to a basketball goal, his shadow is 2'long, and the basketball goals
shadow is 4'4" long. About how tall is the basketball goal?

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Step 1

$A s s u m e t h a t t h e h e i g h t s a n d s h a d o w s c a s t a r e P r o p r o t i o n a l s u c h t h a t 2 s i m i l a r t r i a n g l e s a r e f o r m e d . c o n v e r t e a c h d i m e n s i o n f r o m f e e t t o i n c h e s b y m u l t i p l y i n g b y 12 f o r e a s e o f c a l c u l a t i o n : A l o n z o' s h e i g h t : 5' 11 " f t \to 5 \times 12 + 11 = 71 i n c h e s A l o n z o' s s h a d o w l e n g t h : 2' f t \to 2 \times 12 = 24 i n c h e s G o a l' s s h a d o w l e n g t h : 4' 4 " f t \to 4 \times 12 + 4 = 52 i n c h e s$

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