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Otrada [13]
3 years ago
10

In sunlight, a vertical stick has a height of 5 ft and casts a shadow 3 ft long at the same time that a nearby tree casts a shad

ow 15 ft long. How tall is the tree?
Mathematics
2 answers:
leva [86]3 years ago
7 0
The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
Black_prince [1.1K]3 years ago
6 0

Answer:

The tree is 25 ft tall.

Step-by-step explanation:

Since, at the same time the ratio of actual height and shadow is constant for every object.

Thus, we can write,

At the same time,

\frac{\text{Height of tree}}{\text{Length of its shadow}}=\frac{\text{Height of vertical stick}}{\text{length of its shadow}}

Given,

The vertical stick has a height of 5 ft and casts a shadow 3 ft long at the same time that a nearby tree casts a shadow 15 ft long,

Let h be the height of the tree,

\implies \frac{h}{15}=\frac{5}{3}

By cross multiplication,

3h=75

Dividing both sides by 3,

h=25

Hence, the tree is 25 ft tall.

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What are the vertex and x-intercepts of the graph of the function given below?
olchik [2.2K]
The correct question is
<span>What are the vertex and x-intercepts of the graph of the function given below?
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step 1
convert the equation in the vertex form
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the answer Part a) is
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Part b) Find the x-intercepts
we know that
the x-intercepts is when y=0
so
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the x-intercepts are the points
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the answer part b) is 
the x-intercepts are the points (7,0)  and (-5,0)

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If Liza takes 120 steps, then the number of steps taken by Pete will be 72.

<h3>What are a ratio and a proportion?</h3>

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.

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Then we have

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If Liza takes 120 steps, then the number of the step taken by Pete will be

\rm \dfrac{5}{3} \times 4 \  Pete  \rightarrow 4 \times 120 \\\\Pete  \rightarrow 72

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

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