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Hoochie [10]
4 years ago
6

find the shadow cast by a 10 foot lamp post when the angle of elevation of the sun is 58 degrees. find the length to the nearest

tenth of a foot.

Mathematics
1 answer:
ddd [48]4 years ago
3 0
If you looks at the well drawn picture that I drew, you'll notice that we notice that we can use the trigonometric ratio tan; in this case:

tan58=\frac{10}{x}
Solving this, we get:
x=\frac{10}{tan58}
Which gets us that x=6.25 (approximately)

(It really wasn't that great of a picture but still :D)

:)

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4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there
kherson [118]

4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there be?

314 boys + 310 girls = 624

If they are grouped into classes of 26 students each, how many class will there be?

130 students = 5 classes

Therefore

260 students = 10 classes

260 x 2 = 520 = 20 classes

26 x 24 = 624

Number of classes = 24

Question 5).

Jim worked 48 weeks last year. Each week he worked 38 hours. If he worked an additional 240 hours of overtime, how many hours did he work in all?

Solution:

48 weeks

24hrs × 7 = 168hrs

168 x 48 = 8,064

Additional 240hrs

= 168hrs = 7 days (a week)

240hrs - 168 = 72 (3days)

168 + 72

= 240hrs + 8, 064

= 8, 304 hrs

6 0
3 years ago
What is the measure of angle BAC?
KATRIN_1 [288]

Answer:

∠BAC = 105°

Step-by-step explanation:

2(5x) = 9x+21

10x = 9x+21

reduce:

x = 21

∠BAC = 5x = 105°

8 0
3 years ago
What is the approximate volume if this cone 9cm by 15cm
ArbitrLikvidat [17]
<em>Hello there, and thank you for asking your question here on brainly.

<u>Short answer: A. 1272 cm</u></em>³
<em>
Why?

When finding the volume of a cone, you use the formula <u>V = </u></em><u><em>πr²h/3. </em></u><em>R = 9, H = 15. V = π9²15/3 9</em>² = <em>81 | 15 / 3 = 5 | 3.14 * 81 = 254.34 | 254.34 * 5 = 1271.2 1272 rounded.

Hope this helped you! ♥</em>
5 0
3 years ago
What does purchasing insurance for a business reveal
uranmaximum [27]
It reveals that the owner is accepting financial risk by budgeting for it and paying for it regularly.
5 0
3 years ago
Is the following number rational or irrational ? -0. overline 32
Savatey [412]

Answer:

yes

Step-by-step explanation:

because -0 is not rational number

6 0
4 years ago
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