A.
Tangent is Opp/Adj
tan = 10/24
And cotan is tan flipped so
Adj/Opp
Cot= 24/10
A.
<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
![sin \ \theta=\frac{opp}{hyp}](https://tex.z-dn.net/?f=sin%20%5C%20%5Ctheta%3D%5Cfrac%7Bopp%7D%7Bhyp%7D)
Substituting the values, we get;
![sin \ 42^{\circ}=\frac{x}{8}](https://tex.z-dn.net/?f=sin%20%5C%2042%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bx%7D%7B8%7D)
Multiplying both sides of the equation by 8, we get;
![sin \ 42^{\circ}\times8=x](https://tex.z-dn.net/?f=sin%20%5C%2042%5E%7B%5Ccirc%7D%5Ctimes8%3Dx)
Simplifying, we get;
![0.669 \times 8=x](https://tex.z-dn.net/?f=0.669%20%5Ctimes%208%3Dx)
![5.352\approx x](https://tex.z-dn.net/?f=5.352%5Capprox%20x)
Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
Complete Question
The length of the guy wire supporting a cell tower is 120 m. The guy wire is anchored to the ground at a distance of 80 m from the base of the tower to the nearest hundredth of a meter how tall is the tower?
Answer:
89.44m
Step-by-step explanation:
We solve this question using the Pythagoras Theorem
This is given as:
Hypotenuse² = Opposite ² + Adjacent ²
Hypotenuse = Length of the guy wire = 120m
Adjacent = Distance from the base of the tower = 80m
Opposite = Height of the building = x
Hence:
120² = x² + 80²
Collect like terms
x² = 120² - 80²
x = √120² - 80²
x = √(8000)
x = 89.4427191 m
Approximately the height of the tower is = 89.44m
Answer:
a
Step-by-step explanation:
3/15 simplifies to 1/5
No it’s not a jelly or a jam