Question

Please help

Leah is 1.75 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 37.85 meters. She stands 33.3 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter

Answer 1

height = 12.15

The height of the tree is 12.15 meters

Explanation:

37.85 - 33.3 = 5.45

1.75/5.45 = h/37.85

Step 1: Cross-multiply

1.75/5.45 = h/37.85

(1.75) × (37.85) = h × (5.45)

66.2375 = 5.45h

Step 2: Flip the equation

5.45h = 66.2375

Step 3: Divide both sides by 5.45

5.45h/5.45 = 66.2375/5.45

h = 12.15367m

But since we need the answer rounded to the nearest hundredth of a meter, the actual answer is:

h = 12.15m