What would be the angle of elevation of a tree from the ground, if the height of the
1 answer:
Answer:
45°
Step-by-step explanation:
The diagram for this question has been attached to this response. Please check.
<em>The angle of elevation is the angle between a horizontal line from a viewer and the line of sight to an object being viewed which is above the horizontal line.</em>
From the diagram;
θ is the angle of elevation
x = height of the tree
y = length of the shadow of the tree = x
Therefore,
tanθ = [Remember that y = x? Then substitute into the equation]
tanθ =
tanθ = 1
θ = tan⁻¹(1)
θ = 45°
Therefore, the angle of elevation is 45°
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Given dimensions of a rectangular garden are:
length = 2(x+6) feet
width = 3.5x feet
using the distributive property on length we get, length = 2x+12
Perimeter of a rectangle is 2(length+width)
So, P = 2(2x+12+3.5x)
Solving it we get,
P = 2(5.5x +12) ..............adding like terms
P = .............multiplying and adding
P = 11x+24
So, perimeter is 11x+24 feet. This value of fencing will be needed.