Answer:
60°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...
Tan = Opposite/Adjacent
For our angle of elevation α, this means ...
tan(α) = 125/72
α = arctan(125/72) = 60.058°
α ≈ 60°
The angle of elevation is about 60°.
In the given diagram, the length of the side marked x is 21.34
<h3>Trigonometry </h3>
From the question, we are to determine the value of the side marked x
In the given diagram,
Hypotenuse = x
Adjacent = 15
Included angle = 49°
Using SOH CAH TOA
We can write that,
cos 49° = 14 / x
∴ x = 14 / cos 49°
x = 21.34
Hence, the length of the side marked x is 21.34.
Learn more on Trigonometry here: brainly.com/question/23505834
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<h2>
Answer: <u><em>
1</em></u></h2>
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Step-by-step explanation:
![\sqrt[4]{81} -2\\=3-2 \\=1](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20-2%5C%5C%3D3-2%20%5C%5C%3D1)
J------------K------------L
8x+11 14x-1
<span>If K is the midpoint of JL then JK = KL
8x+11 = 14x-1
11 + 1 = 14x - 8x
12 = 6x
x = 12/6
x = 2
JK = 8x + 11 = 8*2 + 11 = 16+11 = 27
KL = JK = 27
JL = JK + KL = 27 + 27 = 54</span>