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DedPeter [7]
3 years ago
7

Please help me. In order to find the height of the tower shown, the surveyors measure the angles of elevation from two points, A

and B.
a) Calculate the distance BC, to a suitable level or accuracy, explain your answer.
b) Use your answer to calculate the height of the tower CD. *
​

Mathematics
1 answer:
Llana [10]3 years ago
7 0
Good luck to you! This problem was a mental workout. XD

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The endpoints of directed line segment PQ have coordinates of P(-7, -5) and Q(5,3). What are the coordinates of point A, on PQ,t
Kamila [148]

Answer:

Therefore the co-ordinate of the point A is (-4,-3)

Step-by-step explanation:

If A(x₁,y₁) and B(x₂,y₂)  is divided by a point in ration m:n internally.

Then the co-ordinate of the point is  (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_2}{m+n}).

Given two points are P(-7,-5) and Q(5,3).

A point A on PQ, that divides PQ into a ratio of 1:3.

Since the point A lies on the PQ.

Therefore it divides the line segment PQ internally.

Here x₁= -7,y₁= -5 ,  x₂= 5,y₂ =3, m=1,n=3

Therefore the co-ordinate of the point A is

(\frac{5.1+(-7).3}{1+3},\frac{3.1+(-5).3}{1+3})

=(\frac{-16}{4},\frac{-12}{4})

=(-4,-3)

6 0
3 years ago
Gracie earns $7 for each car she washes. she always saves $25 of her weekly earnings. this week, she wants to have at least $65
nata0808 [166]
65 divided by 7 is approximently 9, and 25 divided by 7 is approximently 3, so 9 plus 3 is 12, so Gracie must wash 12 cars to earn enough money to save 25 and spend 65!
7 0
3 years ago
A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in.
Alexus [3.1K]
It would need 288 cubes to fill up the prism.
7 0
3 years ago
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lenny left home wih 2 hundred dollar bill he purchased 3 t-shirts each costing 39.50. how much change did he have left
vekshin1

Answer:

Change left = $81.50

Step-by-step explanation:

Total cost of 3 Tshirts = 3×39.50

= $118.50

To find the change

$200.00

- $118.50

= $81.50

5 0
2 years ago
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Sam practices his guitar for 9 hours each week he practices each song for 3 1/2 hours. What is the greatest number of song he ca
liberstina [14]

Answer:

<em>The greatest number of song he can practice in a week is  2.</em>

Step-by-step explanation:

Suppose, the greatest number of song he can practice in a week is  x

He practices each song for 3\frac{1}{2} hours. So, the total time required for practicing x number of songs = (3\frac{1}{2}*x) hours.

Given that, he practices his guitar for 9 hours each week.

So, the equation will be......

3\frac{1}{2}*x= 9\\ \\ x= 9\div 3\frac{1}{2}\\ \\ x=9\div \frac{7}{2}=9 \times \frac{2}{7}=\frac{18}{7}= 2.571.... \approx 2

<em>(Rounded as the greatest whole number)</em>

Thus, the greatest number of song he can practice in a week is  2.

4 0
3 years ago
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