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3241004551 [841]
3 years ago
14

HELP!!!

Mathematics
2 answers:
svetlana [45]3 years ago
8 0

In the right triangle ABC, right angled at A.

AB=6 , BC=12.

We have to find the value of Cot C.

In the right triangle ABC,

By using the Pythagoras theorem, which states

(BC)^{2}=(AB)^{2}+(AC)^{2}

(12)^{2}=(6)^{2}+(AC)^{2}

(AC)^{2}=108

(AC)=\sqrt{108}

AC = 6\sqrt{3}

Now, we will determine the value of Cot C.

Since, \cot \Theta =\frac{Base}{Perpendicular}

\cot C =\frac{AC}{AB}

\cot C =\frac{6\sqrt{3}}{6}

\cot C =\sqrt{3}}

So, the value of Cot C is radical sign 3.

So, Option A is the correct answer.

maksim [4K]3 years ago
7 0
The answer is A. Radical sign 3.
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</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. 
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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.

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
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tan(y) = 0.513
y = 0.513/tan
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</span>

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