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anand is 1.75 meters tall. at 10 a.m., he measures the length of a trees shadow to be 41.35 meters. he stands 36.9 meters away from the tree, so that the tip of his shadow meets the tip of the trees shadow. find the height of the tree to the nearest hundredth of a meter.
(diagram is not to scale.)
answer attempt 1 out of 2

Explanation:

Step1: Calculate length of Anand's shadow

$41.35 - 36.9 = 4.45$ meters

Step2: Set up proportion for similar triangles

Let $h$ = height of tree.
$\frac{h}{41.35} = \frac{1.75}{4.45}$

Step3: Solve for $h$

$h = \frac{1.75 \times 41.35}{4.45}$
$h = \frac{72.3625}{4.45} \approx 16.26$

Answer:

16.26 meters