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tiny-mole [99]
3 years ago
15

points P and Q lie 240 m apart in line with and on opposite sides of a communications tower. the angles of elevation to the top

of the tower from P and Q are 50 and 45 degrees, respectively. determine the height of the tower to the nearest tenth of a meter
Mathematics
1 answer:
Leona [35]3 years ago
5 0

Answer:

The height of the tower is 130.5m

Step-by-step explanation:

In the question, we are given the following values:

The angles of elevation to the top of the tower from P = 50°

The angles of elevation to the top of the tower from Q = 45°

The angles of elevation to the top of the tower from P = 50°

Hence,cot P = 1/ tan(50°)

The angles of elevation to the top of the tower from Q = 45°

Hence, tan 45° = 1

In the question,we are told Points P and Q lie 240 m apart in line with and on opposite sides of a communications tower.

Therefore,

PQ = height of the tower( tan Q + 1/tan P)

240m = height of the tower( tan 45° + 1/ tan 50°)

240m = h(1 + 1/tan 50°)

h = (240 m)/(1 + 1/tan (50°))

h = 130.49863962 meters

Therefore, the height of the tower to the nearest tenth of a meter is 130.5 meters(m)

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the total cost of 4 pens at rs 20 each,5 pencils at Rs 5 each and 2 boxes at rs 60 each.make equation and solve (INTEGERS) plsss
Julli [10]

Answer:

225 rs

Step-by-step explanation:

cost of 1 pen = 20 rs

total cost of 4 pens = 20×4= 80 rs

cost of 1 pencil = 5 rs

total cost of 5 pencils = 5×5 = 25 rs

cost of 1 box = 60 rs

total cost of 2 boxes = 60×2 = 120 rs

Total= 80+25+120 = 225 rs

4 0
3 years ago
If y is proportional to x and y = -15 when x= -20, what is the value of x when y = 12
ladessa [460]
I hope this helps you




y= -15 x= -20



y=12 x=?



?.-15=12.-20


?=12.20/15


?=16


x=16
3 0
3 years ago
You need 23 yards of fabric to make five dresses. How many yards of fabric would be needed to make 8 dresses?
olasank [31]

Answer:

36.8 or 37 yards of fabric

Step-by-step explanation:

23 yards of fabric = five dresses

23 divided by five equals four point six

four point six multiplied by eight dress equals 36.8

23 yds of fabric = 5 dresses

23÷5=4.6

If you need to know how many yards of fabric, then you'd do:

4.6×8

4.6 is the amount of each yards 5 dresses are in and so if you times that by how many dresses you need now, you'll get:

36.8 yards of fabric

To round, it'd be 37 yards of fabric

5 0
3 years ago
The owner of a stereo store wants to advertise that he has many different sound systems in stock. The store carries 6 different
Orlov [11]

Answer: 540

Step-by-step explanation:

Given : The owner of a stereo store wants to advertise that he has many different sound systems in stock.

Number of different CD​ players =6

Number of different receivers= 10

Number of  different speakers = 9

We are assuming that a sound system consists of one of​ each .

Then by Fundamental principle of counting , we have

The number of different sound systems can he​ advertise = (Number of different CD​ players)x (Number of different receivers) x(Number of  different speakers)

= 6 x10 x 9 =540

Hence, the number of different sound systems can he​ advertise =540

6 0
3 years ago
Are the following lines parallel, perpendicular, or neither?
natta225 [31]

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines mean lines that have same slope but since both equations have different slopes which you can check by looking at m-value in y = mx + b. In this case m1 or first slope is -4/3 and m2 or second slope is 3/4.

Perpendicular means that both lines are reciprocal to each other. This means the perpendicular condition is or satisfies \displaystyle \large{m_1m_2 = -1 \longrightarrow m_1 = -\frac{1}{m_2} \longrightarrow m_2 = -\frac{1}{m_1}}

We have m1 = -4/3 and m2 = 3/4.

Therefore, -4/3 * 3/4 = -1 thus both lines are perpendicular to each other as it satisfies m1m2 = -1 condition.

8 0
2 years ago
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