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Vlada [557]
3 years ago
6

Please help with this question!

Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0
I am pretty sure the answer is 14
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A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a
viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

\theta = 30 + 10 = 40

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

tan(\theta) = \frac{opposite}{adjacent}

Plug in the values

tan(40) = \frac{BC}{42}

Multiply both sides by 42

tan(40) \times 42 = \frac{BC}{42} \times 42

35.24 = BC

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

\theta = 30

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

tan(\theta) = \frac{opposite}{adjacent}

Plug in the values

tan(30) = \frac{BD}{42}

Multiply both sides by 42

tan(30) \times 42 = \frac{BD}{42} \times 42

24.25 = BD

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

7 0
3 years ago
Evaluate |-a 2 ), given a = 5, b = -3, and c = -2.<br><br> 25<br>-25 <br>-10 <br> 10 ​
Temka [501]

Answer:

1-a2

1-5x2

-4x2= -8

Step-by-step explanation:

8 0
2 years ago
11. Sara borrowed *60,000 from a money lender at 15% rate of interest per annum. What is
patriot [66]

Answer:

<em>36000</em>

Step-by-step explanation:

Given the following

Principal = 60,000

Rate = 15%

Time = 4years

Using the simple interest formula

SI = PRT/100

SI = 60000*15*4/100

SI = 600 * 60

SI = 36,000

<em>Hence the interest paid after 4 years is 36000</em>

5 0
3 years ago
Sara and her dad visit Yo-Yo Yogurt again. This time, the scale says that sara has 14 ounces of vanilla yogurt in her cup. Her f
enot [183]

1.5/16 its the most i can do

5 0
3 years ago
The scheme where you can find the greatest common divisor of two integers by repetitive application of the division algorithm is
HACTEHA [7]

Answer:

False

Step-by-step explanation:

Euclidean Algorithm is the algorithm that allows us to find the greatest common divisor (gcd) of two integers by repetitive application of the division algorithm.

A division algorithm is an algorithm which, given two integers N and D, computes their quotient and/or remainder.

Quotient and/or Remainder = \frac{N}{D}

8 0
3 years ago
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