Answer:
2.5 -1.5
Step-by-step explanation:
You can do it! :) I believe in you
Step-by-step explanation:
Hey, there!
As it is a Right angled triangle, taking reference angle as angle B.
hypotenuse (h)= AB
perpendicular (p)= 12
base (b)= 24.
Now, let's look which ratio can be used here as p and b are given. Let's use tan ratio here.( as tan = p/b)
![\tan(theta) = \frac{p}{b}](https://tex.z-dn.net/?f=%20%5Ctan%28theta%29%20%20%3D%20%20%5Cfrac%7Bp%7D%7Bb%7D%20)
![tan(theta) = \frac{12}{24}](https://tex.z-dn.net/?f=tan%28theta%29%20%3D%20%20%5Cfrac%7B12%7D%7B24%7D%20)
![\tan(theta) = \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Ctan%28theta%29%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
or, tan theta = (0.5)
Shifting tan to right side making it inverse.
or, theta = tan inverse (0.5)
Therefore, theta = 26.56° or 27° { by rounding off 26.56° we get 27°}.
<em>Hope it helps</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer:
73.21 m
71.68°
Step-by-step explanation:
Like the question has stated, we're to solve this using Pythagoras theorem.
Pythagoras theorem states that
opp² + adj² = hyp²
From the question, we're asked to find the hypotenuse, being given the opposite side and the adjacent. The opposite side is the center of the Ferris wheel above the ground, and that is 69.5 m. While the adjacent is the distance of the second anchor.
Succinctly put, we have
69.5² + 23² = hyp²
4830.25 + 529 = hyp²
hyp² = 5359.25
hyp = √5359.25
hyp = 73.21 meters.
Therefore, the length of the cable is 73.21 meters long.
To get the angle, we use the formula
Sin Φ = opp/hyp
Sin Φ = 69.5 / 73.21
Sin Φ = 0.9493
Φ = sin^-1 0.9493
Φ = 71.68°
Therefore, the angle of elevation to the center of the Ferris wheel is 71.68°