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Elina [12.6K]
3 years ago
14

A building 62 feet tall casts a shadow 21 meters long . At what angl is the sun shining on the building

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

Answer:

71.3°

Step-by-step explanation:

A building 62 feet tall casts a shadow 21 meters long . At what angle is the sun shining on the building?

We solve this question using the Trigonometric function of Tangent

tan x = Opposite/Adjacent

Where

Opposite = 62ft

Adjacent = 21 ft

x = Angle

Hence,

tan x = 62/21

x = arc tan (62/21)

x = 71.288262125°

Approximately = 71.3°

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A supplier sells 2 and 1/4 pounds of mulch for every 1 and 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and grav
polet [3.4K]

Because ratios can be written as fractions
\frac{mulch}{2.25}=\frac{gravel}{1.33}

172 =\frac{mulch}{2.25}+ \frac{gravel}{1.33}
172 - \frac{mulch}{2.25} = \frac{gravel}{1.33}
76.44 mulch = x amount of gravel = 172
Gravel = 172 - 76.44
            = 95.56



4 0
4 years ago
Please answer as soon as possible!!
harkovskaia [24]

Answer:

2.29

Step-by-step explanation:

First determine the square root of 17.8

√17.8 = 4.22

second, determine the value of 1.3^{2.5} = 1.93

subtract 1.93 from 4.22

4.22 - 1.93 = 2.29

6 0
3 years ago
En said the value of the expression 72-8^2 +6*3 is 50. What mistake did Ben make? Correct Ben’s mistake and give the value of th
posledela

Given:

72-\frac{8}{2}+6\times3

He does mistake in the order of giving preference.

We should give preference in the order, division, multiplication, addition, subtraction.

But, he gave the first preferrence to the subtraction.

72-8=64

Next, he used division

64/2=32

Next he adds 32 with 8.

So, he gets 50.

But the actual simplification is,

Simplifying we get,

\begin{gathered} 72-\frac{8}{2}+6\times3=72-4+18 \\ =68+18 \\ =86 \end{gathered}

Hence, the correct value of the expression is 86.

7 0
1 year ago
Giving the 2 sides of the triangle, find the range of all possible lengths for the third side.
Zinaida [17]

Answer:

  1. 2 < x < 16
  2. 3 < x < 19
  3. 14 < x < 18
  4. 4 < x < 16
  5. 13 < x < 47
  6. 0 < x < 10
  7. 1 < x < 7

Step-by-step explanation:

The minimum third side is the difference of the given sides; the maximum third side is their sum.

If you like, you can have a spreadsheet calculate these for you. That seems like more work than just doing them in your head.

4 0
3 years ago
What is the equation of circle C???
BigorU [14]

Answer:

(x-5)²+(y-7)²=80

Step-by-step explanation:

3 0
3 years ago
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