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WINSTONCH [101]
3 years ago
15

The angle of elevation of the top of a tower from a point 100m away is 45 degrees. What is the height of the tower to the neares

t metres?
Mathematics
2 answers:
Radda [10]3 years ago
6 0

Answer:

\Huge \boxed{\mathrm{100 \ meters}}

Step-by-step explanation:

The base of the right triangle created is 100 meters.

The angle between the base and the hypotenuse of the right triangle is 45 degrees.

We can use trigonometric functions to solve for the height of the tower.

\displaystyle \mathrm{tan(\theta) = \frac{opposite }{adjacent} }

\displaystyle \mathrm{tan(45) }= \frac{x }{100}

Multiplying both sides by 100.

\displaystyle \mathrm{100 \cdot tan(45) }= x

\displaystyle \mathrm{100 }= x

The height of the tower is 100 meters.

OLEGan [10]3 years ago
5 0
<h3>Answer: 100 meters</h3>

===========================================

Explanation:

If you draw out the diagram, then you'll find that a 45-45-90 triangle forms. The nice thing about this type of triangle is that the two legs are always the same length. The horizontal leg is 100 meters, so the vertical leg must also be 100 meters.

Side note: this type of triangle is an isosceles right triangle.

---------

You could use the tangent rule to get the same thing

tan(angle) = opposite/adjacent

tan(45) = 100/x

1 = 100/x

1*x = 100

x = 100

In this case, the opposite leg is the vertical leg since it is furthest from the angle of elevation.

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2.74 as a mix number
Inga [223]

Answer:

2 74/100

Step-by-step explanation:

6 0
3 years ago
Please someone help me with this word problem for my math class T.T
olga55 [171]

Answer:

<u>Perimeter</u>:

= 58 m (approximate)

= 58.2066 or 58.21 m (exact)

<u>Area:</u>

= 208 m² (approximate)

= 210.0006 or 210 m² (exact)

Step-by-step explanation:

Given the following dimensions of a rectangle:

length (L) = \sqrt{252} meters

width (W) = \sqrt{175} meters

The formula for solving the perimeter of a rectangle is:

P  = 2(L + W) or 2L + 2W

The formula for solving the area of a rectangle is:

A = L × W

<h2>Approximate Forms:</h2>

In order to determine the approximate perimeter, we must determine the perfect square that is close to the given dimensions.  

13² = 169

14² = 196

15² = 225

16² = 256

Among the perfect squares provided, 16² = 256 is close to 252 (inside the given radical for the length), and 13² = 169 (inside the given radical for the width).  We can use these values to approximate the perimeter and the area of the rectangle.

P  = 2(L + W)

P = 2(13 + 16)

P = 58 m (approximate)

A = L × W

A = 13 × 16

A = 208 m² (approximate)

<h2>Exact Forms:</h2>

L = \sqrt{252} meters = 15.8745 meters

W = \sqrt{175} meters = 13.2288 meters

P  = 2(L + W)

P = 2(15.8745 + 13.2288)

P = 2(29.1033)

P = 58.2066 or 58.21 m

A = L × W

A = 15.8745 × 13.2288

A = 210.0006 or 210 m²

8 0
2 years ago
Given a=b+ cd. Make c the subject of the formulae
daser333 [38]

Answer:

a=b+cd

c=b/c/a or c^2=b/a

Btw ^2 means squared or to the second power.

this might no be the answer you are looking for though

5 0
3 years ago
What is the largest three-digit number that is a multiple of both $24$ and $30$
irina [24]

We are given two numbers $24 and $30.

We need to find the largest three-digit number that is a multiple of both $24 and $30.

So, we need to find the largest common multiple of 24 and 30.

<em>In order to find the largest common multiple, we need to multiply both numbers.</em>

If we multiply 24 and 30, we would get

24 × 30 = 720.

Therefore, the largest three-digit number that is a multiple of both $24 and $30 is 720.



4 0
3 years ago
What is the original price if saidhari and she paid $75 and it was 1/4 off the price
Lelu [443]
Let's set the original price as x.

1/4 off the original price would be

x-1/4x=3/4x

Set it equal to 75

3/4x=75
3x=300
x=100

The original price was $100.

Hope this helps!
4 0
3 years ago
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