Answer:
79.7 degrees to the nearest tenth.
Step-by-step explanation:
55.9 is the hypotenuse of the right triangle formed by the perpendicular height and the tower itself, and the height is the opposite side to the required angle.
So we have sin X = 55/55.9 = 0.9839.
X = 79.70.
Answer: The tower is leaning at 79.70°.
Step-by-step explanation:
Hi, to answer this question we have to apply a trigonometric formula.
Since we know the opposite side and hypotenuse of the triangle formed by the tower (see attachment) we can apply:
Sin θ = Opposite Side/Hypotenuse
Replacing with the values given:
Sin θ = 55/55.9
Solving for θ
θ = arc sin 55/55.9 = 79.70°
The tower is leaning at 79.70°.
Feel free to ask for more if needed or if you did not understand something.
