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Gnesinka [82]
3 years ago
11

A 28ft ladder leans against a wall so that the base of the ladder is 5ft away from the base of the wall. How far up the wall doe

s the ladder reach?
Round to the nearest tenth.
Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0

Answer:

the top of the ladder is 27.5ft above the ground.

Step-by-step explanation:

The ladder makes an angle, θ with the ground thus forming a right angle triangle with the wall of the house.

The length of the ladder represents the hypotenuse of the right angle triangle.

The ground distance from the base of the wall to the foot of the ladder represents the adjacent side of the right angle triangle.

Therefore, to determine how high up is the top of the ladder on the wall, x, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

28² = x² + 5²

784 = x² + 25

x² = 784 - 25 = 759

x = √759 = 27.5ft

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Answer:

5 ft/s

Step-by-step explanation:

Let L be the length of the ladder. The relation between the angle and distance X is:

X = L * sin θ      the change of X will be:

dX/dt = L * cos θ    If we evaluate the expression when θ = π/3, we get the change of X:

dX/dt = 10 * cos(π/3)

dX/dt = 5 ft/s

4 0
3 years ago
Help!!! MATHS QUESTION I WILL GIVE YOU A HEART!!!
Novay_Z [31]

Answer:

bottom diagram

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Step-by-step explanation:

5 green for every 2 blue

The bottom diagram matches that situation

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-----          ---------       ----------

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3 years ago
In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in
andreev551 [17]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
For each problem, identify any important quantities. If it's a known quantity, write the
Tema [17]

Answer:

We have the problem:

"Clare is in charge of getting snacks for a road trip with her friends and her dog. She has

$35 to go to the store to get some supplies. The snacks for herself and her friends cost

$3.25 each, and her dog's snacks costs $9 each."

In this situation we have two variables:

X =  number of snacks for herself and her friends that she buys. Each one of these costs $3.50

Y = number of snacks for her dog that she buys. Each one of these costs $9.

The total cost, in this case, can be written as:

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And we know that she has $35 to spend, so she can spend $35 or less in the store, then we have the inequality:

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Where we defined all the quantities in the inequality.

4 0
3 years ago
Help me solve this give steps as well please
lorasvet [3.4K]

The total cost of 6 wave pool tickets with the discount included would be $73.5.

<h3>How to calculate the total value of 6 tickets with the discount?</h3>

To calculate the total cost we must multiply the value of each ticket by the number of tickets to be purchased, in this case there are 6:

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Learn more about tickets in: brainly.com/question/14001767

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7 0
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