Answer:
length of string ≈ 421 units (nearest whole number)
Step-by-step explanation:
Juliet is standing on the balcony 44 above the ground . The angle of depression is 6°. A string was held between Juliet and Romeo.
The illustration forms a right angle triangle. The hypotenuse of the triangle is the length of the string held by both star crossed lovers. The opposite side of the triangle is given as 44. Therefore,
using sin ratio
sin 6° = opposite/hypotenuse
sin 6° = 44/length of string
cross multiply
length of string sin 6° = 44
divide both sides by sin 6°
length of string = 44/sin 6°
length of string = 44/0.10452846326
length of string = 420.937978274
length of string ≈ 421 units(nearest whole number)
