Question

SOMEONE PLEASE HELP URGENTLY !!

The length of the ladder is 25 ft.
I also want to know,
8. Use the law of sines or trigonometric ratios to find each length. Round your answer to 1 decimal place.
a. The length of the zip line
b. The height of the point on the tree where the top of the ladder rests against it
c. The distance between the base of the ladder and the base of the tree
d. The distance between the base of the tree and the spot where the zip line is anchored in the ground

Answer 1

Explanation:

if Z is the length of the zip line , and the ladder is going up the tree from 75° angle point, then it's 25*cos(75°) =6.47047 feet (c) from the base of the tree, and also mean that h = 25 sin(75°) =24.1481 feet (b)

now use SOH CAH TOA, to remember how the trig function fit onto the triangle so use what we know, to find the zip line length

the small angle where the zipline meets the ground , by observation is 10°

use SOH, sin(10) = Opp / Hyp

sin(10) = 24.1481 / hyp

hyp = 24.1481 / sin(10)

hyp = 139.0636 feet (a) our zip line length :P

Cos(10) = adj / hyp

Cos(10) = adj / 139.0636

139.0636 * Cos(10) = adj

136.95 feet, is the base of the zip line :P

did you understand how I did those? :/