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marin [14]
3 years ago
8

A 20 ft flag pole casts a shadow 32 ft long. What is the angle of elevation of the sun?

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Answer:

<em>The angle of elevation of the sun is 32°</em>

Step-by-step explanation:

<u>Right Triangles</u>

The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.

Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.

\displaystyle \tan x=\frac{\text{opposite leg}}{\text{adjacent leg}}

The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:

\displaystyle \tan x=\frac{20}{32}=0.625

Calculate x by using the inverse tangent:

x=\arctan 0.625

x=32^\circ

The angle of elevation of the sun is 32°

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darlene wants to buy martian invader video game. The video game price is $100. Darlene has a coupon for 25%. What is the price o
Paraphin [41]

Answer:

$75

Step-by-step explanation:

100 ÷ 25=75

Hope this helps!☺

6 0
3 years ago
A piano has 52 white keys. Write and use an equation to find the number of octaves on a piano keyboard.
Firdavs [7]
There are 7 keys in each octave (C,D,E,F,G,A and B) so it would make sense to divide 52 to 7.
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3 0
2 years ago
Consider the following ordered data. 6 9 9 10 11 11 12 13 14 (a) Find the low, Q1, median, Q3, and high. low Q1 median Q3 high (
IrinaVladis [17]

Answer:

Low             Q1                Median              Q3                 High

6                  9                     11                      12.5                14

The interquartile range = 3.5

Step-by-step explanation:

Given that:

Consider the following ordered data. 6 9 9 10 11 11 12 13 14

From the above dataset, the highest value = 14  and the lowest value = 6

The median is the middle number = 11

For Q1, i.e the median  of the lower half

we have the ordered data = 6, 9, 9, 10

here , we have to values as the middle number , n order to determine the median, the mean will be the mean average of the two middle numbers.

i.e

median = \dfrac{9+9}{2}

median = \dfrac{18}{2}

median = 9

Q3, i.e median of the upper half

we have the ordered data = 11 12 13 14

The same use case is applicable here.

Median = \dfrac{12+13}{2}

Median = \dfrac{25}{2}

Median = 12.5

Low             Q1                Median              Q3                 High

6                  9                     11                      12.5                14

The interquartile range = Q3 - Q1

The interquartile range =  12.5 - 9

The interquartile range = 3.5

7 0
3 years ago
How many $20 checks would it take to pay an invoice for $280
irga5000 [103]
280÷20=14 is that what ur asking?
7 0
3 years ago
Please help I literally don't understand-
Ivenika [448]
Well, QR is the hypotenuse of the triangle and PT is another side of the triangle. You can use phythagoras theorem to work this out. So squareroot 13-8. That should give your your answer
4 0
2 years ago
Read 2 more answers
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