Any ideas on how to find the value of 'x' on either 13 or 16? Anything helps!
1 answer:
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Answer:
x ≈ 3.1 ft
Step-by-step explanation:
The segment from the centre to the chord is a perpendicular bisector, thus
The triangle is right with base = x
Applying Pythagoras' identity to the right triangle, then
( x )² + 1.4² = 2.1²
x² + 1.96 = 4.41 ( subtract 1.96 from both sides )
x² = 2.45 ( multiply both sides by 4 )
x² = 9.8 ( take the square root of both sides )
x = ≈ 3.1 ft ( to the nearest tenth )
First, we are going to find the distance traveled by the ship adding the tow distances:
Distance traveled= 24 mi +33 mi=57 mi
Next, we are going to use the Pythagorean theorem to find the distance from
to 
:
d^2=1665
mi
Finally, we are going to subtract the two distances:
57 mi -40.8 mi= 16.2 mi
We can conclude that <span>if the ship could have traveled in a straight lime from point a to point c, it could have saved 16.2 miles.</span>
Distance traveled= 24 mi +33 mi=57 mi
Next, we are going to use the Pythagorean theorem to find the distance from
d^2=1665
Finally, we are going to subtract the two distances:
57 mi -40.8 mi= 16.2 mi
We can conclude that <span>if the ship could have traveled in a straight lime from point a to point c, it could have saved 16.2 miles.</span>