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Xelga [282]
3 years ago
7

(Trigonometry) A 25-foot ladder leans against a building. The ladder's base is 13.5 feet from the building. Find the angle which

the ladder makes with the ground.
Mathematics
1 answer:
vova2212 [387]3 years ago
4 0
Here, in this situation, 
Hypotenuse = 25 feet
base = 13.5 feet

Now, Cos Ф = B / H
Cos Ф = 13.5 / 25
Cos Ф ≈ 1/2
Ф = Cos⁻¹(1/2)
Ф = 45  [ Cos 45 = 1/2 ]

In short, Your Answer would be approximately 45 degrees

Hope this helps!
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Answer:

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Step-by-step explanation:

The triangles given are similar triangles because they share the same angles.  Because they are similar, their side lengths are in the same ratio, or proportion to one another.  The left side of the larger triangle has a length of 121cm + 11cm = 132cm where the smaller triangle only has a length of 11 cm.  We can put these lengths into a ratio:

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=====================================

Explanation:

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  • Step 3) Mark the point of intersection. Let's call it point A.
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All of this is shown in the diagram below.

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