If the ladder is 15 feet long, then what is the angle at which the ladder is leaning?
The angle at which the ladder is leaning is 62.18°.
Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.
For the given situation,
The length of the ladder = 15 feet
The distance between the house and the ladder base = 7 feet
The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.
we know that, θ =
The figure below shows the relationship between the sides.
⇒ θ =
⇒ θ =
⇒ θ =
Hence we can conclude that the angle at which the ladder is leaning is 62.18°.
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Answer:
62.182°
Step-by-step explanation:
Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.
Screen Shot 2020-05-18 at 9.57.43 AM
Answer:
there is nothing there
Step-by-step explanation:
literally
Answe
Step-by-step explanation:
Total cups of lemonade:
6 cups + 5 cups = 11 cups
Total quarts and cups of lemonade:
11 cups ÷ 4 cups = 2 quarts 3 cups
1 quart is 4 cups so 11 cups is 2.75 quarts
After 270 seconds, both cars will meet again at the startingpoint.
To find the time at which both cars meet again at the starting point, we need to find the least common multiple (LCM) of their lap times. The LCM is the smallest positive integer that is divisible by both lap times.
David's car lap time = 90 seconds
Chris' car lap time = 54 seconds
Now, let's calculate the LCM:
Find the prime factors of each lap time:
90 = 2 × 3² × 5
54 = 2 × 3³
Take the highest power of each prime factor:
LCM = 2 × 3³ × 5
= 2 × 27 × 5
= 270 seconds
So, after 270 seconds, both cars will meet again at the startingpoint.
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Answer:
h
Step-by-step explanation:
Find the common ratio for the following sequence. 1/2, -1/4, 1/8, -1/16, ...
Find the common ratio for the following sequence. 1/2, -1/4, 1/8, -1/16, ...
Answer:
1/3
Step-by-step explanation:
B. 9(p + $11.50) = $94.75; p = $5.00
C. 9p + $11.50 = $94.75; p = $11.75
D. 9p + $11.50 = $94.75; p = $9.25
Based on the data provided if the customer went to the shop and bought the potting soil and shrubs with the total bill of $94.75 and the potting soil alone is for $11.50. We can determine the price of the shrubs in total by deducting the 2 values. $94.75 - $11.50 = $83.25. Now that we have the total amount of the shrubs to get the amount of each shrub we then divide the total amount versus the number of shrubs which is 9, ergo $83.25/9 = 9.25 per shrub.
So the answer to this question is:
D. 9p + $11.50 = $94.75 p=$9.25