Find the measurement of Arc VW
2 answers:
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Answer:
13.93 miles
Step-by-step explanation:
From the given information:
we are being told that a drove 13 miles towards east from home.
and make a left turn due north, thus travel 5 miles.
The objective is to find the man's distance from his starting point(i.e. his home) to his place of work.
Let the horizontal base distance be x = adjacent side = 13 miles
Let the vertical distance be y = opposite side = 5 miles
Let the slant distance be z = hypotenuse side = ??? (unknown)
Therefore, using the pythagoras theorem.
(hypotenuse)² = (opposite)² + (adjacent)²
z² = y² + x²
z² = 5² + 13²
z² = 25 + 169
z² = 194
z = 13.93 miles
Answer:
The length of MG = 56.
Step-by-step explanation:
Two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional.
Given that:
From the given figure:
In and
EG =
EF =
EM =
EL =
By definition of similar triangle,
...... (1)
Substitute the given values in equation (1) as shown below:
which implies, EG = .
Now to find the value of MG.
EG = EM+MG
Subtract 16 from both sides, we get
Hence, the value of length of MG = 56.