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

Question

Mathematics

Rose

25 October, 08:35

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

+1

Answers (2)

Know the Answer?

Keira Rosario · Answer 1

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.

Gerardo Hobbs · Answer 2

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

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 tenthA) 42.0 ftB) 85.7 ftC) 18.0 ftD) 52.5 ft

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