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3 years ago

A ladder is placed 10 feet away from a tree. The length of the ladder is 25 feet. Find the height of the tree?

Mathematics

1 answer:

Dimas [21]3 years ago

7 0

Answer:

23ft approx

Step-by-step explanation:

Given data

Distance from tree= 10ft

Length of ladder= 25ft

We can find the height of the tree by applying the Pythagoras theorem

z^2= x^2+y^2

z= The height of the ladder

x= The distance from the tree

y= The height of the tree

25^2= 10^2+ y^2

625=100+y^2

625-100=y^2

525=y^2

y= √525

y= 22.91

Hence the height of the tree is 23ft approx

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A number consists of two digits. The number is 2 more than 8 times the sum of the digits, and if 54 is subtracted from the numbe

Gennadij [26K]

Let the units digit = x

Let the 10s digit = y

Equations

10y + x - 2 = 8 * (x + y) (1)

10y + x - 54 = 10x + y (2)

Equation 1

10y + x - 2 = 8 * (x + y) Remove the brackets on the right

10y + x - 2 = 8x + 8y Subtract 8y from both sides

10y - 8y + x - 2 = 8x Subtract 8x from both sides

2y + x - 8x - 2 = 0 Combine

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Equation 2

10y + x - 54 = 10x + y Subtract 10x

10y - 9x - 54 = y Subtract y from both sides.

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y - x - 6 = 0 Multiply by 2

2y - 2x - 12 = 0 (4)

Solution

Subtract (3) - (4)

2y - 7x - 2 = 0

2y - 2x - 12 = 0

- 5x + 10 = 0 Subtract 10 from both sides.

- 5x = - 10 Divide by - 5

x = 2

Use (4) to find y

2y - 2x - 12 = 0 Let x =2

2y - 2(2) - 12 = 0 Remove the brackets

2y - 4 - 12 = 0 Combine

2y - 16 = 0 Add 16 to both sides.

2y = 16 Divide by 2

y = 8

Answer 82

I'll leave the check to you, but the answer of 82 is correct.

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Bezzdna [24]

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2 years ago

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Answer:

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Daisy, the african elephant weighs 10,250 pounds. The daily feed intake for an elephant is approximately 1.5% of the animals bod

AlexFokin [52]

Answer: a) 154 kilograms

Step-by-step explanation:

Given : Daisy, the african elephant weighs 10,250 pounds.

The daily feed intake for an elephant is approximately 1.5% of the animals body weight.

1.5% can be written as 0.015.

Now, the amount of feed is to be feed to Daisy to meet her requirements will be :_

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