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Aleks04 [339]
3 years ago
6

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

nd the long-on at C. The angle AD makes with the ground is 30 ° and the angle between the two wires is 10 °. How much below the top of the tower is the shorter one attached?

Mathematics
1 answer:
viktelen [127]3 years ago
7 0

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

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3 years ago
Help me with this question because I do not understand.
Dafna11 [192]

A 10% booking fee is added to the ticket price (I'm guessing 10% is added for each ticket)

Find 10% of the adult and child ticket:

10% of 15 = 1.5

10% of 10 = 1

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(15 +1.5) × 4 = 66

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1.5% will then be added if he lays by credit card :

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total :

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He pays a total of £89.32

3 0
3 years ago
A grocery store has small bags of apples for $5 and large bags of apples for $8. If you buy 6 bags and spend $45, how many of ea
ladessa [460]
Based on the given problem above, here is the given solution.
Given that small bags = $5
                 large bags = $8
                 6 bags = $45
                 ? = number of each size bag you bought
The answer based on the given values above is 5 LARGE BAGS and 1 SMALL BAG.
Since per large bag is $8. $8 x 5 = $40
And per small bag is $5 x 1 = $5
So this gives you a total of $45
hope this helps!
3 0
3 years ago
)Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitutio
Ira Lisetskai [31]

Hi there,

Take y from first equation and use it / substitute it into the second equation:

-2x + 8 = x - 1, so 3x = 9, therefore x = 3.

Then y = x - 1 = 3 - 1 => y = 2.

Solution is (3,2).

A quick check: 2 = -2*3 + 8, true, and 3 = 2 - 1, also true.

Green eyes.

5 0
3 years ago
13. please help with this
posledela

Answer:

Looking at the question and goin step by step

we get to know that equation formed wud be ->

product of nine and a number - 9*x = 9x

added to 6 => 9x+6

gives us 24

so

9x + 6 = 24

now 9x = 18 and x = 18/9 = 2

and now keeping x value = 9 *(2)+6 we get 18+6 = 24

so lhs = rhs = 24

9x+6=24 option a

7 0
2 years ago
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