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3 December, 12:47

In a garden, a birdbath 2 ft 6 in. tall casts an 18 in. shadow at the same time an oak tree casts a 90 foot shadow. How tall is the oak tree in feet?

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  1. 3 December, 16:22
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    150 ft tall

    Step-by-step explanation:

    first, lets first convert 2ft 6in to ft:

    since ft=12 in, 6=0.5 ft

    thus, the height of the birdbath is 2+0.5 ft=2.5ft

    now, lets convert 18 inch shadow to ft:

    since ft=12 in, 18=1.5 ft

    now, we can use the following proportions to solve this problem:

    2.5/1.5=x/90

    1.5x=90*2.5

    1.5x=225

    x=225/1.5

    x=150

    Thus, the oak tree in the garden is 150 ft tall
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