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Answer:
19.4 feet
Step-by-step explanation:
When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.
- Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
- Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
- Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.
Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.
We set up the equation .
We isolate h by multiplying h across the equal sign and dividing sin (68) across as well.
And finally we have . We input to calculator.
See the attached picture below showing the shore with the boat out at sea and the position of the person.
The coordinates of P' is (9, -6) and L' is (3, -1).
<h2>Given that</h2>PL has endpoints P(4, −6) and L(−2, 1).
The segment is translated using the mapping (x, y) → (x + 5, y).
<h3>We have to determine</h3>
What are the coordinates of P’ and L’?
<h3>According to the question</h3>PL has endpoints P(4, −6) and L(−2, 1).
The segment is translated using the mapping (x, y) → (x + 5, y).
The coordinates of point P after translation using mapping is,
And the coordinates of point L after translation using mapping is,
Hence, The coordinates of P' is (9, -6) and L' is (3, -1).
To know more about Translation click the link given below.