From my own solution, my answer is closest to D. 1951 yd; 27°

The boat is 1951 yards away from the observer in tower B. The angle of depression to the boat from Tower B is 27°.

Pls. see my attachment.

In it I divided the big triangle into two small right triangles.
I solved for the common leg of the right triangles by using sin theta formula. sin θ = opposite / hypotenuse

sin 35° = opposite / 1538 yd
sin 35° * 1538 yd = opposite
882.16 yd = opposite

From there, I used the Pythagorean theorem to solve for the missing side which is part of the 3,000 yd measure.

I got the measure of 1,259.86 yards. The remaining measure of 1,740.14 is the side of the other right triangle.

Still using Pythagorean Theorem, I used the measurement of the known side of the 2nd right triangle to solve for its hypotenuse which was 1,950.97 or 1,951 yards.

With regards to the angle of depression, I used this formula:

tan(y) = opposite / adjacent
tan(y) = 1538 yd / 3000 yd
tan(y) = 0.513
y = 0.513/tan
y = 27.14°

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Gnoma [55]

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A jury pool has 24 men and 16 women, from which 12 jurors will be selected.

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3 years ago