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dedylja [7]
3 years ago
7

A man who is 2 meters tall is facing a tower that is 13 meters away. He can see the reflection of the top of the tower in a pudd

le that is 0.5 meter in front of him. What is the approximate height of the tower in meters?
Mathematics
2 answers:
Vlad [161]3 years ago
6 0
The concept that can be used in order to answer this item is that of ratio and proportion. The ratio of the man's height and the length of his shadow should be proportional or equal to the ratio of the tower height and length of its shadow. If we let x be the height of the tower, the equation that would help us solve this item is,
             
                        2 / x = 0.5 / 13.5
The value of x is equal to 54. Thus, the tower's height is approximately 54 meters. 
vodomira [7]3 years ago
5 0

Hello, The answer is actaully 50

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The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios

  • The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
  • The angles in the rhombus are 44 and 46 degrees, respectively

<h3>How to determine the values of x?</h3>

<u>Triangle 1</u>

The value of x is calculated using the following tangent ratio

tan(25) = 10/x

Make x the subject

x = 10/tan(25)

Evaluate

x = 21.4

<u>Triangle 2</u>

The value of x is calculated using the following tangent ratio

tan(x) = 8/5

Evaluate the quotient

tan(x) = 1.6

Take the arc tan of both sides

x = arctan(1.6)

Evaluate

x = 58

<u>Triangle 3</u>

The value of x is calculated using the following tangent ratio

tan(x) = 0.34/0.15

Evaluate the quotient

tan(x) = 2.27

Take the arc tan of both sides

x = arctan(2.27)

Evaluate

x = 66

<h3>How to calculate the angles of the rhombus?</h3>

The lengths of the diagonals are:

L1 = 2 in

L2 = 5 in

Represent the angles with x and y.

The measures of the angles are calculated using the following tangent ratios

tan(0.5x) = 2/5 and y = 90 - x

Evaluate the quotient

tan(0.5x) = 0.4

Take the arc tan of both sides

0.5x = arctan(0.4)

Evaluate

0.5x = 22

Divide by 0.5

x = 44

Recall that:

y = 90 - x

This gives

y = 90 - 44

Evaluate

y = 46

Hence, the angles in the rhombus are 44 and 46 degrees, respectively

Read more about tangent ratio at:

brainly.com/question/13347349

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2 years ago
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