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21 March, 12:50

In sunlight, a vertical stick 6 ft tall casts a shadow 2 ft long. At the same time a nearby tree casts a shadow 14 ft long. How tall is the tree? Round to the nearest tenth

A) 42.0 ft

B) 85.7 ft

C) 18.0 ft

D) 52.5 ft

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Answers (2)
  1. 21 March, 12:59
    0
    Alrighty friend, let me explain you a math.

    We're gonna want to start by setting up a fraction. We'll set up the fraction as height/shadow. The stick's height is 6 feet and the shadow is 2 feet, making the fraction 6/2. The second fraction only gives us the shadow, so the fraction is x/14.

    Now, we're gonna do some cross multiplication m8. 6/2 x x/14. Multiply 6x14 = 84 and 2x (x) = 2x - - - > 2x = 84

    Do you some basic algebra here, and divide both sides by 2.

    Your final answer is 42, so the tree is 42 feet tall.
  2. 21 March, 13:19
    0
    The nearby tree's height is 42.0 ft, which is A
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