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quester [9]
2 years ago
14

Determine the area of this figure. Round your answer to the nearest tenth place.

Mathematics
1 answer:
denis-greek [22]2 years ago
5 0
36 feet okay it is 36 feet of the area
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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
Thepotemich [5.8K]
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
<span>sin 35</span>° * 1538 yd = opposite
<span>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</span>°<span>

</span>

8 0
3 years ago
This Question: 1 pt
Burka [1]

Answer:

1. 75

Step-by-step explanation:

take boths numbers add them up then divide but by 2

3 0
3 years ago
Nancy bought a mobile phone marked at $720 at a discount of 20% and she had to pay 5% tax. If Nancy had to put 20% of what she h
Olenka [21]

Answer:

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Step-by-step explanation:

4 0
3 years ago
1/3(-15 divide 1/2) 1/4 what does it equal
Dafna1 [17]

Answer:

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Step-by-step explanation:

Writing out the expression Mathematically ;

1/3(-15÷1/2)1/4

Using PEMDAS :

Solving the bracket first

(-15 ÷ 1/2) = (-15 * 2/1) = - 30

We have :

1/3(-30)1/4 = - 10 * 1/4 = - 10 / 4 = - 2.5

-2.5 = - 2 1/2

3 0
2 years ago
What is factor sir 13?
professor190 [17]
Since 13 can only be divided evenly by 1 and 13 (itself), it is called a prime number.
5 0
3 years ago
Read 2 more answers
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