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Fofino [41]
3 years ago
13

A 12 foot ladder is leaning against a wall and the foot of the ladder is 5 feet away from the wall. What is the angle between th

e ground and the ladder
Mathematics
1 answer:
Pepsi [2]3 years ago
8 0

Answer:

65.38degrees

Step-by-step explanation:

Given the following

Length of ladder = 12foot = hypotenuse

Distance of the ladder from the wall = 5ft = adjacent

Required

Angle between the ground and the ladder theta

Using the SOH CAH TOA identity

Cos theta = adj/hyp

Cos theta = 5/12

Cos theta = 0.41667

theta = arccos(0.41667)

theta = 65.38 degrees

Hence the angle between the ground and the floor is 65.38degrees

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<h2>Hello!</h2>

The answers are:

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\frac{5}{6} and \frac{10}{12}

D.

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<h2>Why?</h2>

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

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We have that:

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Option D.

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We have that:

1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}

So, we have that the pair of numbers

\frac{6}{7}

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Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

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Hence, the answers are:

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\frac{5}{6} and \frac{10}{12}

D.

\frac{6}{7} and 1\frac{5}{7}

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