All categories

2 years ago

Question 1

Mathematics

1 answer:

Scrat [10]2 years ago

6 0

Answer:

17.11 meters

Step-by-step explanation:

You are using trigonometry in this problem.

The height of the flagpole represents the side opposite the given angle.

The base of the triangle is given as 19 meters and represents the side adjacent to the given angle.

Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.

Tan(angle) = opposite / adjacent

If we plug in what we know into that equation: tan(42 degrees) = h / 19

This means that your answer = 19 * tan(42) = 17.11 meters

You might be interested in

The table represents quadratic function g. Which statement is true about the function?

weqwewe [10]

Answer:

B. The maximum occurs at the function's x-intercept.

Step-by-step explanation:

Given table:

$\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & -5 & -4 & -3 & -2 & -1 & 0\\\cline{1-7} g(x) & -1 & 0 & -1 & -4 & -9 & -16\\\cline{1-7}\end{array}$

From inspection of the table, we can see that:

$g(-5) = -1$ and
$g(-3) = -1$

This indicates symmetry.

The line of symmetry is the mid-point between the two x-values.

Therefore, the line of symmetry is x = -4

The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0). As the function decreases as x → 0, the vertex is a maximum.

As the y-value of the vertex is 0, the maximum occurs at the function's x-intercept.

3 0

1 year ago

Read 2 more answers

What is 2004 pennies worth?

marusya05 [52]

Penny is 1/100th worth of a dollar
therefore 1 penny is equivalent to - 1/100th of a dollar
then 100 pennies are equivalent to - 1 dollar - $1
then 2004 pennies are worth - $\frac{1}{100} * 2004 = 20.04$
the value is $20.04
answer is $20.04

4 0

3 years ago

Read 2 more answers

A cab charges $1.50 for the flat fee and $0.50 for each mile. Write and solve an inequality to determine how many miles Sharon c

Harlamova29_29 [7]

The correct answer is number 4

7 0

3 years ago

Molly wants her rectangular rooftop garden plot to have an area of 21 square feet. If she makes the width 5 feet, what must be t

Over [174]

Area = length x width
21 = length x 5
length = 21/5 = 4.2

The length is inversely proportional to the width because as the length increases the width reduces and vice-versa

3 0

3 years ago

Read 2 more answers

Which set of numbers is correctly ordered from greatest to least? 7 1/3, 221/30, 7.36, 2.4, 3

pishuonlain [190]

2.4,3, 7 1/3, 221/30,7.36 is order from least to greatest

3 0

3 years ago