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
We can treat this problem like you regularly subtract fractions. First find the common denominator, which is 15.
So:
5(x+6)/15 = 30/15 + 3(x-2)/15
(5x+6)/15 - (30/15) - (3x - 6)/15
As you already know the answer, I'm assuming you can do the rest.
Hope this helps!
Answer:
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Angles of the parallelogram which is given in the problem are:α = 49° + 17 °= 66°
β = 180° - 66° = 114°
x - length of the longest side of the parallelogram;
Use the Sine Law:x / sin 49° = 20/ sin 17°
x / 0.7547 = 20 / 0.2924
0.2924 x = 15.094
x = 15.094 : .2924
x = 51.62 is the longest side of the parallelogram.
