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Mamont248 [21]
3 years ago
12

Step by step to get answer

Mathematics
1 answer:
ELEN [110]3 years ago
3 0

Use PEMDAS

Parentheses

Exponents

Multiplication (L-R)

Division (L-R)

Addition (L-R)

Subtraction (L-R)

(30-9+3)+9

(21+3)+9

24+9

33

33 is your answer

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An observer in tower A sees a boat 1538 yd away at an angle of depression of 35°. To the nearest yard, how far is the boat away
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From my own solution, my answer is closest to D<span>. 1951 yd; 27°
</span><span>
The boat is 1951 yards away from the observer in tower B. The angle of depression to the boat from Tower B is 27</span>°.<span>

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 </span>θ = opposite / hypotenuse
<span>
sin 35</span>° = opposite / 1538 yd
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From there, I used the Pythagorean theorem to solve for the missing side which is part of the 3,000 yd measure.

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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</span>°<span>

</span>

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