Complete question is;
A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?
Answer:
θ = 70.5°
Step-by-step explanation:
The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.
I've attached a diagram showing the triangle made by this ladder and the wall.
From the attached diagram, we can see the triangle formed by the ladder and the wall.
We can find the angle of elevation θ from trigonometric ratios.
Thus;
7/21 = cos θ
cos θ = 0.3333
θ = cos^(-1) 0.3333
θ = 70.5°
Answer:
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Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
![\huge\boxed{471.5}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B471.5%7D)
The formula for an arithmetic sequence is as follows:
![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
In this formula,
represents the
th term of the sequence and
represents the common difference between each term.
Plug in the known values.
![a_{308}=11+(308-1)1.5](https://tex.z-dn.net/?f=a_%7B308%7D%3D11%2B%28308-1%291.5)
Subtract.
![a_{308}=11+307*1.5](https://tex.z-dn.net/?f=a_%7B308%7D%3D11%2B307%2A1.5)
Multiply.
![a_{308}=11+460.5](https://tex.z-dn.net/?f=a_%7B308%7D%3D11%2B460.5)
Add.
![a_{308}=\boxed{471.5}](https://tex.z-dn.net/?f=a_%7B308%7D%3D%5Cboxed%7B471.5%7D)
Answer:
![7\sqrt{5}](https://tex.z-dn.net/?f=7%5Csqrt%7B5%7D)
Step-by-step explanation:
<u>Step 1: Simplify
</u>
![\sqrt{7^2 * 5}](https://tex.z-dn.net/?f=%5Csqrt%7B7%5E2%20%2A%205%7D)
![7\sqrt{5}](https://tex.z-dn.net/?f=7%5Csqrt%7B5%7D)
Answer: ![7\sqrt{5}](https://tex.z-dn.net/?f=7%5Csqrt%7B5%7D)