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Mama L [17]
3 years ago
8

The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)

Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

Solution:

Ladder makes a right angle triangle with wall and ground.

We have,

Length of ladder (hypotenuse)= 40 foot

Base = 8 foot

We need to find the perpendicular to get the height of the ladder on the wall.

Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

Hypotenuse^2=Base^2+Perpendicular^2

(40)^2=(8)^2+(h)^2

1600=64+h^2

1600-64=h^2

1536=h^2

Taking square root on both sides.

\pm \sqrt{1536}=h

\pm 39.1918358=h

Height cannot be negative. Round to the nearest foot.

h\approx 39

Therefore, the height of the ladder on the wall is 39 foot.

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There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and come back ( you don
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Answer:

49 different ways

Step-by-step explanation:

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So, if you have seven ways to go up and seven ways to go down, the number of different ways of going to the top and coming back is the product of these numbers of possible choices.

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8 0
2 years ago
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Answer:

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The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees

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3. m<CAB = 180 degrees - m<EAC

4. Equation 1: m<CAB = m<EAF = 119 degrees

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Hope this helps!!! :)

Attached photo work is created by another brainly user named tallinn.

Click on this link to find his work and possibly more information of the answer. Thanks!

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Answer:

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Step-by-step explanation:

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