Marta is standing 4 ft behind a fence 6 ft 6 in. tall. When she looks over the fence, she can just see the top edge of a buildin
g. She knows that the building is 32 ft 6 in. behind the fence. Her eyes are 5 ft from the ground. How tall is the building? Give your answer to the nearest half foot.
1 answer:
Answer: 93ft
Explanation: Martha's eyesight make an angle with the fence, this is solved as a triangle problem.
We first convert all the dimensions to inches using the fact that 12 inches make 1 ft.
To solve for the angle
Tan § = 18/48 = 0.375
§ = tan^-1 of 0.375 = 20.55°
This same angle elevates to the edge of the building
Tan 20.55 = 399/x
x = 399/tan 20.55
x = 1040 inches
Height of building = x + height of fence
Height of building = 1040 + 78 = 1118 inches
Converting back to ft it becomes
1118/12 = 93 ft 2 inches
Approximately 93ft
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Answer:
The range of powers is
Explanation:
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The far point of the left eye is
The near point of the left eye is
The near point with the glasses on is
From these parameter we can see that with the glass on that for near point the
Object distance would be
Image distance would be
To obtain the focal length we would apply the lens formula which is mathematically represented as
substituting values
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Generally the power of the lens is mathematically represented as
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From these parameter we can see that with the glass on that for far point the
Object distance would be
Image distance would be
To obtain the focal length of the lens we would apply the lens formula which is mathematically represented as
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Generally the power of the lens is mathematically represented as
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This implies that the range of powers of the lens in his glass is