Need help ASAP. The diagram shows 5ft student standing near a tree. The shadow of the student and the shadow of the tree at endp
oint A. What is the height of the tree. Show all your work, and make sure to include units in your final answer.
1 answer:
Answer:
The height of the tree = 25 feet
Step-by-step explanation:
From the given diagram : EF = 5 feet, FA = 8 feet, CA = 40 feet
∠AFE = 90° and ∠ACB = 90°
To find : CB, the height of the tree.
Solution : In ΔAEF and ΔAB C
∠AFE = ∠ACB = 90°
∠A is common angle.
So, By AA postulate of similarity of triangle, ΔAEF ~ ΔABC
Now, sides of similar triangles are proportional to each other
Hence, The height of the tree = 25 feet
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Answer:
Step-by-step explanation:
The line that passes through the two points (6, -23) and (11, r) has a slope of 4.
We want to determine the missing value of r.
We can use the slope formula:
Let (6, -23) be (x₁, y₁) and let (11, r) be (x₂, y₂). The final answer should be 4. Therefore:
Simplify and evaluate:
Multiply both sides by 5:
Therefore:
20x + 45y = 9500 is the linear equation for given scenario
<em><u>Solution:</u></em>
Given that Eve makes $20 for each 5K participant and $45 for each 10K participant
Cost of each 5k participant = $ 20
Cost of each 10k participant = $ 45
Her goal is to raise $9,500
Let "x" represents the number of participants in the 5K race
Let "y" represents the number of participants in the 10K race
To find: linear equation for given scenario
The standard form for linear equations in two variables is Ax + By = C
Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500
<em><u>From the above statement, we can frame a equation as:</u></em>
number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500
20x + 45y = 9500
Thus the linear equation for given scenario is found