How to solve this using trigonometry?

Mathematics

1 answer:

Leya [2.2K]3 years ago

8 0

Using SOHCAHTOA and Kenui's height and angle of depression (which is the downward angle from the horizontal ) the answer should be:

because its the Adjacent and Opposite sides use Tan;
Tan(6.8) = o/a
tan(6.8) = Distance / 219
tan(6.8)(219 = Distance
26.114 m

But because the angle of depression is the downward angle from the horizontal the answer may be Tan(83.2)(219) = 1836.589
the 83.2 coming from 90 degrees - 6.8 degrees

either way i"m still unsure because I don't see a need for the two angles or Mias involvement, sorry if I'm wrong

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Answer: $YX=13.85\ units$

Step-by-step explanation:

<h3> The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3> The missing figure is attached.</h3>

Since the figure is a rectangle, you know that:

$WV=YX\\\\YV=XW=24$

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

You can identify that:

$\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24$

Therefore, in order to find the length of the segment YX, you must substitute values into $tan\alpha =\frac{opposite}{adjacent}$ and then you must solve for YX.

You get that this is:

$tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85$