Answer:
37 ft
Step-by-step explanation:
The ladder forms a right triangle as it elan's against the wall of the boat house.
Thus, the length of the ladder can be determined using Pythagorean theorem.
c² = a² + b²
c = length of ladder
a = 35 ft
b = 12 ft
Plug in the values
c² = 35² + 12²
c² = 1,225 + 144
c² = 1,369
c = √1,369
c = 37
Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft
Answer:
12
Step-by-step explanation:
8.x-13=3+4.x
8.x-13=7.x
x-13+8=7.x
x-5=7.x
x-x=7+5
x-x=12
x=12
Using the Law of Sines, sina/A=sinb/B=sinc/C (although there are other ways considering that this is a 30, 60, 90 degree triangle with a basic identity) we can say:
97/sin60=x/sin30=y/sin90
x=97sin30/sin60 and y=97sin90/sin60
The total height of the tree is h=x+y so
h=97sin30/sin60 + 97sin90/sin60
h≈168.01 ft (to the nearest hundredth of a foot)
h≈168 ft (to nearest foot)
1.91 meters of rope left
Hope that helps you
