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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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The possible outcomes for tossing a coin four times are shown below.
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Step-by-step explanation:

The probability of getting exactly four heads is 1/16.

There are 16 different posible outcomes and only 1 is all heads.

That makes the answer 1 out of 16 or 1/16.

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What is the area of the yellow triangle?
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For example, the dimensions of a triangle are 4 and 6.

Multiply the two.

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2 years ago
I need help with this question. I need to find the perimeter of the hexagon RSTUVW.​
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Answer:

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Step-by-step explanation:

Two "special" triangles are involved.

ΔSWR is a 30°-60°-90° right triangle, so will have sides in the ratio 1 : √3 : 2.

ΔUVW is a 45°-45°-90° right triangle so will have sides in the ratio 1 : 1 : √2.

For ΔSWR, the side SW is given as 6, so the other sides are ...

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