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Eddi Din [679]
3 years ago
12

ACTIVITY RESULTS

Mathematics
1 answer:
matrenka [14]3 years ago
7 0

Answer:

D = 72.2\ yd

Step-by-step explanation:

Given

Length\ (L)= 58\ yd

Width \ (W)= 43\ yd

Required

Determine the diagonal (D)

The relationship between D, L and W can be gotten using Pythagoras Theorem:

D^2 = L^2 + W^2

Substitute values for L and W

D^2 = 58^2 + 43^2

D^2 = 3364 + 1849

D^2 = 5213

Take Square root of both sides

D = \sqrt{5213}

D = 72.2011080247

D = 72.2\ yd (<em>Approximated)</em>

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Burka [1]
Answer:
question (1)
height of building = 308 ft
question (2)
cos 67.11 = 7/18

Explanation:
question (1)
Taking a look at the triangle, we can see that it is a right-angled triangle. This means that we can apply the special trigonometric identities.
The one we will use here is:
tan Θ = opposite / adjacent 
where:
Θ = 72
the opposite side is the height of the building
the adjacent side = 100 ft
Substitute to get the height as follows:
tan(72) = height / 100
height = tan(72)*100 = 307.76 which is approximately 308 ft

question (2):
We are given that:
cos Θ = 7/18
therefore:
Θ = cos^-1(7/18)
Θ = 67.114 
approximating to the nearest tenth, we would find that:
Θ = 67.11°

Hope this helps :)
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