Follow the steps to find the common denominators for 2/3 and 1/5
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Answer:
The building is approximately 39 m high.
Step-by-step explanation:
As seen in the diagram attached, a triangle can be formed between the boy, the top of the building, and the lateral distance between the boy and the building.
We can now use trigonometric laws to find the distance AC between the boy's head and the top of the building.
tan 40 = AC/37.5
AC = 37.5 X tan 40 = 31.46m
We have just obtained the distance from the boy's head to the building top.
To get the true height of the building, we have to add the height of the platform the boy is standing on to the value just found.
7.5m + 31.46m = 39m
The value of x in the first question is 3/7.
The value of y in the second question is 17/22
For the first equation given, the first step is to simplify the numbers in the numerator
5(1 - x) + 3(1 +x)
5 - 5x + 3 + 3x
2 - 2x
The equation becomes
Cross multiply
2 - 2x = 8(1 - 2x)
2 - 2x = 8 -16x
Combine similar terms
16x - 2x = 8 - 2
14x = 6
Divide both sides of the equation by 14
x = 6/14
x = 3/7
<em><u>The second question </u></em>
the first step is to simplify the terms in the numerator by combining similar terms
y - 4 + 3y
4y - 4
The second step is to simplify the terms in the denominator by combining similar terms
2y - 3 - 4y
-2y - 3
The equation becomes
=
Cross multiply
20y - 20 = -2y - 3
Combine similar terms
20y + 2y = 20 - 3
22y = 17
Divide both sides of the equation by y
y = 17/22
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