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bija089 [108]
2 years ago
13

You lean a 12 foot ladder against the wall. If the base is 2.5 feet from the wall, what angle does the ladder make with the grou

nd?
Mathematics
1 answer:
Alina [70]2 years ago
7 0

Answer:

77.975degrees

Step-by-step explanation:

Given the following;

Length of the ladder = 12foot (Hypotenuse)

Distance from the wall to the base of the ladder = 2.5feet (adjacent)

Using the SOH CAH TOA identity;

Cos theta = adjacent/Hypotenuse

Cos theta = 2.5/12

Cos theta = 0.2083

theta = arccos (0.2083)

theta = 77.975

Hence the angle that the ladder makes with the ground is 77.975degrees

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Answer:

12 cm


Step-by-step explanation:

This is a proportionality/similarity problem.

10 cm turned to 4 cm. So by how much has it decreased? In other words, <em>10 multiplied by </em><em>WHAT</em><em> is 4?</em>

10*x=4\\x=\frac{4}{10}\\x=0.4

0.4 is also known as the scale factor from the large diagram to the small diagram.

So how much would 30 cm become?<em> It would be 30 multiplied by the scale factor, which is </em><em>0.4</em><em>.</em>

30*0.4=12

<u>Hence, the length of the reduced diagram would be </u><u>12 cm</u><u>.</u>

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Given the set of ordered pairs: {(1,3), (2,7), (x,5), (6,4)}.
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The x-coordinate could also be 1 or 6 because they have been used as domains as well.

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