Juliet is standing on the balcony 44 above the ground. She is looking at Romeo at an angle of depression of 6 degrees. if both star-crossed lovers were holding the end of a strong, what would the length of the string be?

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)