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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<br /><br />

A42.0 ft<br />
B85.7 ft<br />
C18.0 ft<br />
D52.5 ft<br /

Verified Answer :

The nearby tree's height is 42.0 ft, which is A

ChloeMJoy

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.

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