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Kamila [148]
3 years ago
8

The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the po

le?
Mathematics
1 answer:
Drupady [299]3 years ago
6 0

Answer:

The angle is approximately 31^{o}.

Step-by-step explanation:

The description i the given question can be represented with the sides of a right angled triangle.

Applying the appropriate trigonometric function, we have;

Tan θ = \frac{opposite}{adjacent}

In the question, opposite side = 60 feet, and adjacent side = 100 feet.

Tan θ = \frac{60}{100}

         = 0.6

θ = Tan^{-1} 0.6

  = 30.964^{o}

θ = 31^{o}

The angle of elevation from the end of the shadow to the top of the pole is 31^{o}.

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W are r are not valid grades. I have attached the table associated with this question

Answer:
GPA = 3.625

Explanation:
GPA stands for "Grade Point Average".
It can be easily calculated by dividing the total grade points with the total number of hours.
Taking a look at the table, we can find that:
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5 0
3 years ago
Find sin 2x, cos 2x, and tan 2x from the given information.<br> cscx=4,tanx&lt;0.
lutik1710 [3]

Answer:

Step-by-step explanation:

Given the expression cosec (x) = 4 and tan(x)< 0

since cosec x = 1/sinx

1/sinx = 4

sinx = 1/4

From SOH, CAH TOA

sinθ = opposite/hypotenuse

from sinx = 1/4

opposite = 1 and hypotenuse = 4

to get the adjacent, we will use the Pythagoras theorem

adj² = 4²-1²

adj² = 16-1

adj ²= 15

adj = √15

cosx = adj/hyp = √15/4

tanx = opposite/adjacent = 1/√15

since tan < 0, then tanx = -1/√15

From double angle formula;

sin2x = 2sinxcosx

sin2x = 2(1/4)(√15/4)

sin2x = 2√15/16

sin2x = √15/8

for cos2x;

cos2x = 1-2sin²x

cos2x = 1-2(1/4)²

cos2x = 1-2(1/16)

cos2x= 1-1/8

cos2x = 7/8

for tan2x;

tan2x  = tanx + tanx/1-tan²x

tan2x = 2tanx/1-tan²x

tan2x = 2(-1/√15)/1-(-1/√15)²

tan2x = (-2/√15)/(1-1/15)

tan2x = (-2/√15)/(14/15)

tan2x = -2/√15 * 15/14

tan2x = -30/14√15

tan2x = -30/7√15

rationalize

tan2x =  -30/7√15 * √15/√15

tan2x =  -30√15/7*15

tan2x =  -2√15/7

5 0
3 years ago
Which of the following statements is not true about the function shown above?
Studentka2010 [4]
Answer A would the one that's false
8 0
3 years ago
When is the product of two nonzero integers less than or equal to both of the two factors
aleksley [76]
The answeris equall to because they are the same #
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3 years ago
PLEASE HELP!! MATH FINAL, NO EXPLANATION NEEDED :))
matrenka [14]

Answer:

B.

Step-by-step explanation:

When you move right or left it's inside the parentheses and the opposite so right is - and left is + when you move up or down its the same so up is + and down is -.

6 0
3 years ago
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