Awire that is 22 feet long connects the top of a pole to the ground. the wire is attached to the ground at a point that is 10 feet from the base of the pole.

what is the height of the pole? round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet

Solution:

Length of wire = 22 feet =AB

Distance between the point where wire is attached to the ground from the point on the ground where pole is fixed= 10 feet=OB

In Right Δ O A B

By Using pythagoras theorem

O A²  + OB² = AB²

O A² +10²= 22²

O A²= 484 - 100

O A²= 384

O A= √384= 19.60 (Approximately)

So, the height of pole to nearest hundredth = 19.60 feet  

a

step-by-step explanation:

a

a = 11 : 4

b = 38

c = 1 for every 6