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Alekssandra [29.7K]
2 years ago
11

The altitude of the base of a cloud

Mathematics
1 answer:
natima [27]2 years ago
7 0

The height of the ceiling is 162.31 meters

The situation will form a right angle triangle.

<h3>Right angle triangle:</h3>

Right triangle has one of its angles as 90 degree. Therefore, the sides can be found using trigonometric ratios

The triangle formed, the theodolite distance from the spotlight is the  adjacent side. Therefore,

tan 62.7 = opposite / adjacent

tan 62.7 = x / 83

cross multiply

x = 83 × tan 62.7

x = 160.809554025 m

Therefore, the height of the ceiling form the ground is as follows:

  • 160.809554025 + 1.5 = 162.309554025 m

learn more on right angle triangle here; brainly.com/question/13481976

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The average monthly rainfall for 6 months was 28.5 mm. If it had rained 1mm more each month what would the average have been? By
Fynjy0 [20]

Answer:

29.5 mm

Step-by-step explanation:

We are told that the average monthly rainfall for 6 months was 28.5 mm.

Thus, total for the 6 months = 28.5 × 6 = 171 mm

Now, we are told that it rained 1 mm extra each month.

So extra for the six months = 1 × 6 = 6mm

New total for 6 months = 171 + 6 = 177 mm

So, new average for 6 months = 177/6 = 29.5 mm

4 0
2 years ago
Solve the following expression and state the operation used in each step. Show all of your work 5+9-3^2+2​
Pepsi [2]
Answer: 7


5+9-3^2+2
= 14-3^2+2
= 14-9+2
= 5+2
= 7
8 0
3 years ago
The GCF of 24 and 32 is
Oksana_A [137]

Start by setting up a factor tree for each number.

Factor in anyway that you'd like.

At the end, circle all prime numbers.

Remember, prime numbers are numbers

with only 2 factors, 1 and the number itself.

Now write these factors in least to greatest

multiplying them separate rows.

Circle factors they have in common.

Since 3 pairs of two's match up, multiply by 2 three times to get 8.

So the GCF is 8.

4 0
3 years ago
Read 2 more answers
Is shaman123456 gaysexual
seropon [69]
No. because he just isnt
5 0
3 years ago
1. 10(.15)=1.5
Fed [463]

Answer:

6.14125(0.15) = 0.9211875 (below 1)

6.14125 - 0.92118 = 5.22007

Step-by-step explanation:

Given data

1. 10(.15)=1.5

2. 10-1.5=8.5

3. 8.5 (.15)=1.275

4. 8.5-1.275=7.225

continuation the sequence

5)    7.225 (0.15) = 1.08375

6)    7.225 -  1.08375 = 6.14125

7)  <u> 6.14125(0.15) = 0.9211875   (below -one)</u>

8 ) <u> 6.14125 - 0.9211875 = 5.2200625 (get number 5)</u>

9)   5.2200625(0.15) = 0.783009

10) 5.2200625 - 0.783009 = 4.4370532

3 0
2 years ago
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