A 35 foot wire is secured from the top of a flagpole to a stake in the ground. If the stake is 14 feet from the base of the flag
pole, how tall is the flagpole?
2 answers:
Answer:
Step-by-step explanation:
Given that,
The flag pole wire is 35foot
And the length of the foot from the tag flagpole is 14ft
So we want to know the height of the flagpole
So this will form a right angle triangle where the wire is the hypotenuse.
Then, using Pythagoras theorem
c² = a² + b²
35² = 14² + h²
35²-14² = h²
h² =1225-196
h² = 1029
h=√1029
h= 32.09ft
Then, the height of the flag pole is 32.08foot.
Check attachment for diagram.
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Now, you would cross multiply to get
4x=18
Now, you simplify that using the division property of equality.
You end up with
x=4.5
Therefore, the legs of the triangle with a base of 9 inches will each be 4.5 units long.