Answer:
14.45 feet
Step-by-step explanation:
The set up is a right angled triangle;
The length of the ladder = hypotenuse = 15foot
The base of the ladder is the adjacent = 4feet
The height of th house is the opposite = x
Using the pythagoras theorem;
hyp² = opp² + adj²
15² = opp²+4²
opp² = 15²- 4²
opp² = 225 - 16
opp² = 209
opp = 14.45feet
Hence the ladder reaches 14.45 feet up the house
5x+60 = 360, x = 60
Ok, so the key to this problem is to realize that all angles added up in a quadrilateral give you 360 degrees. This means that x+10 + 2x + 2x + 50 = 360. Then we can just simplify to 5x + 60 = 360, 5x = 300, and x = 60.
Answer: 162
Answer: 18
80 - 44 = 36
36 / 2 = 18
