MATH SOLVE

4 months ago

Q:
# Angles. Maybe using law of sines

Accepted Solution

A:

Answer: (a) 5.36° (b) β = 84.64° -θ (c) d = 58.36·sin(84.64° -θ)/sin(θ) (d) see the attached tableStep-by-step explanation:(a) The lean angle can be found from the definition of the sine function: sin(α) = Opposite/Hypotenuse = (5.45 m)/(58.36 m) ≈ 5.36°__(b) The angle β does not depend on d; it only depends on the angle θ. Since the sum of angles of a triangle is 180°, we have ... θ + (90°+α) + β = 180° β = 180° -90° -5.36° -θ β = 84.64° - θ__(c) The law of sines tells you ... d/sin(β) = 58.36/sin(θ)Using the above expression for β and multiplying by sin(β), we get ... d = 58.36·sin(84.64° -θ)/sin(θ)___This can be simplified, if desired, to ... d = 58.10·cot(θ) -5.45