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alina1380 [7]
3 years ago
10

the length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 degre

e to 36 degree calculate correct to three significant figure the height of the pole
Mathematics
1 answer:
Mama L [17]3 years ago
4 0

Step-by-step explanation:

(A) Let a triangle be formed with height of pole h, length of base b and angle of elevation 58°. (Due to lack of a figure).

Tan 58° = h / b = 1.6

(B) Let another triangle be formed with height of pole h, length of base (b + 90) and angle of elevation 36°. (Due to lack of a figure).

Tan 36° = h / (b + 90) = 0.72

(C) <u>Simplifying the two equations</u> :

1.6b = 0.72b + 64.8

b = 64.8 / 0.88 = 73.6 m

h (height of pole) = 1.6 * 73.6 = 117.76 m

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Will mark brain list if answer
Natali5045456 [20]

The fractional form of the rational number 0.1515... is:

15/99

<h3>How to write 0.1515... as the quotient of two integer numbers?</h3>

I will do all the steps, not only the one in the picture.

First, we identify that we have a number where the decimals do a repeating pattern.

That number in our case is 0.1515...

That repeating pattern is "15".

First we need to identify the number of digits in the pattern, and we can see that is 2, thus we define n = 2

Now we multiply our number by 10^n (10^2 in this case).

0.1515...*10^2 = 0.1515...*100 = 15.1515...

Notice that we still have the pattern, so we can subtract the original number to remove it:

15.1515... - 0.1515... = 15

Ok, now we can rewrite the left side as:

15.1515... - 0.1515... = 100*0.1515... - 0.1515...

= (100 - 1)*0.1515... = 99*0.1515...

And we know that is equal to 15, then we can write:

99*0.1515... = 15

If we isolate the original number in the left side we will get:

0.1515... = 15/99

That is the fractional form of the rational number.

If you want to learn more about rational numbers:

brainly.com/question/12088221

#SPJ1

7 0
2 years ago
Find the area.<br> 4 cm<br> 6 cm<br> 6 cm
Semenov [28]

Answer:

30 cm²

Step-by-step explanation:

6*(4+6)/2=30 cm²

7 0
3 years ago
Which cylinder pressure will Jillian need if she plans to fill 90 balloons?
LiRa [457]

Answer:

C

Step-by-step explanation:

Because if she wants to fill 90 balloons 100 is 30 so multiply by 30×3 and u get 90

5 0
3 years ago
The measure of ∠1 is 39°. What is the measure of ∠2?
Vlada [557]

Answer:

141

Step-by-step explanation:

if the sum of the two angles equals 180 subtract 39 from 180 to get the remainder of 141 which is angle 2

5 0
3 years ago
Please help me i’ll give brainliest
natali 33 [55]

yepAnswer:

Step-by-step explanation:

7 0
3 years ago
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