At a certain time of day 1.8m tall person standing next to the Washington monument cast a 0.7m shadow at the same time the Washi
ngton monument cast a 65.8m shadow how tall is Washington monument
Please help♀️
Please help♀️
1 answer:
Answer:
169 m
Step-by-step explanation:
See the image below.
Line AB represents the monument and line BC its shadow
Line DB represents the man and Line BE it shadow.
The Sun’s rays are parallel, so AC||DE.
Then ∆ABC ~ ∆DBE
AB:BC::DB:BE
x/65.8 = 1.8/0.7 Multiply both sides by 65.8
x = 65.6 × 1.8/0.7
x = 65.6 × 2.571
x = 169 m
The height of the Washington monument is 169 m.
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<h3>Area of shaded region is 21.5 square centimeter</h3>
<em><u>Solution:</u></em>
The area of the shaded region is equal to the area of the square minus the area of the circle
<em><u> Find the area of the square</u></em>
Where, "a" is the length of each side
From given figure in question,
a = 10 cm
<em><u>Find the area of circle </u></em>
The area of the circle is given as:
Where, "r" is the radius of circle
Diameter = 10 cm
Thus,
<em><u>Find the area of the shaded region</u></em>
Area of shaded Region = Area of Square - Area of Circle
Area of shaded Region = 100 - 78.5 = 21.5
Thus area of shaded region is 21.5 square centimeter
Answer:
12.5 pi or 39.26990
Step-by-step explanation:
First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:
We can substitute what we have:
This gives us:
12.5 pi or 39.26990(Not sure what format you need it in)