A telephone pole stands exactly in the middle between two houses. The houses are 72 feet apart. If a wire is stretched from the top of the pole to the base of the house, its length is 39 feet.
A. What is the distance of the pole from each house?
72/2= 36
36 ft from each house.
B. What is the height of the pole?
39 feet.
plz help
A. is correct.
B. the height of the pole is not 39 feet; that's the length of the wire.
a^2 + b^2 = c^2
a^2 + 36^2 = 39^2
a^2 + 1,296 = 1,521
a^2 = 1521 - 1296
a^2 = 225
a = 15 feet
let h be the height
Using Pythagoras,
h^2 + 36^2 = 39^2
h^2 = 225
h = 15
Sure! Let's break down the problem step by step.
A. To find the distance of the pole from each house, we can use the fact that the pole stands exactly in the middle between the two houses. We are given that the houses are 72 feet apart.
To find the distance from each house, we can divide the total distance between the two houses by 2:
Distance from each house = 72 ft / 2 = 36 ft
So, the pole is 36 feet away from each house.
B. To find the height of the pole, we are given that a wire is stretched from the top of the pole to the base of the house, and its length is 39 feet.
Therefore, the height of the pole is 39 feet.
I hope that helps! Let me know if you have any further questions.