please help me I need the answer
Answers
Answer:
a) 25m
b)20m
c)15m
d) 18m.
Step-by-step explanation:
given,
height of electric pole = 7m = height of tower
distance between the base of pole and ladder = 24m = base
(every tower is perpendicular to ground )
a) length of ladder = hypotenuse of triangle ABC
by pythagorus theorem,
base^2 + height^2 = hypotenuse^2
24^2 + 7^2 = BC^2
576 + 49 = BC^2
625 = BC^2
√625=BC
25=BC
hypotenuse =BC = 25 Metres
b) let the height of the pole = 15m (given)
hypotenuse or length of ladder = 25m
(from the first problem )
by pythagorus theorem,
base^2 + height^2 = hypotenuse^2
AB^2 + 15^2 = 25^2
AB^2 + 225 = 625
AB^2 = 625-225
AB^2 = 400
AB = √400
AB= 20
BASE = AB = 20M
C) since the poles are perpendicular to ground ,
the distance between base of poles and top of
poles are equal
distance between base of poles = distance between tops of poles
distance between the top of poles = 15m
d) given ,
pole broken into 2 pieces and the top of the pole broken and touched the ground ,
distance between base of pole and tip of pole = 12m. (given)
height of pole after broken which is perpendicular to ground = 5m (given )
by pythagorus law,
base^2 + height^2 = hypotenuse^2
12^2 + 5^2 = hyp^2
144 + 25 = BC^2
169=BC^2
√169= BC
13 = BC
The actual length of the pole = broken part + the unbroken part
length of pole = 5m + 13m
length of the pole = 18m
