1 answer:
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Answer:
Noah should buy a ladder of length greater than <u>28.1 ft</u> to reach at least 22 feet height.
Step-by-step explanation:
Given:
Noah has to reach at least 22 ft height.
Angle made by the base of ladder with the ground = 51.5°
To find the length of the ladder.
Solution:
On drawing the situation, we get a right triangle. The hypotenuse of the triangle represents the length of the ladder.
In triangle ABC.
∠C = 51.5°
AB = 22 ft
Applying trigonometric ratio to find AC (length of the ladder).
Plugging in values.
Multiplying AC both sides.
Dividing both sides by
Thus, Noah should buy a ladder of length greater than 28.1 ft to reach at least 22 feet height.
Answer:
B) 25.82%
Explanation:
This equation will be in the form
,
where a is the initial value, x is the number of time periods and r is the annual rate of growth.
We know the initial value, a, is 0.12.
We know that x, the amount of time, is 2014-1969 = 45.
We know that y, the total value, is 3700.
This gives us the equation
Divide both sides by 0.12:
To find this, we must next take the 45th root. This is the same as raising to the power of 1/45:
Subtract 1 from each side:
1.2582-1 = 1+r-1
0.2582 = r
To convert this to a percent, multiply by 100:
0.2582(100) = 25.82%