What type of conic section is the following equation? x2 - 4y2 = 100 parabola circle hyperbola ellipse

Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on

Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

$\displaystyle \tan 82^\circ=\frac{h}{100}$

Solving for h:

$h = 100\tan 82^\circ$

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0

2 years ago

Write 5.24 in expanded form

Katarina [22]

This is how you write 5.24 in expanded form 5+0.2+0.04

4 0

3 years ago

Read 2 more answers

Please help me out ?

vova2212 [387]

An obtuse triangle is formed if there is an angle that has a measure of more than 90 degrees. You can determine if an obtuse angle is formed by two sides of a triangle if it meet this condition:

Let a and b be two sides of a triangle and c is the longest side:
$a^{2} + b^{2} \ \textless \ c^{2}$

So taking your given:

$10^{2} + 15 ^{2}$ < $c^{2}$
100 + 225 < $c^{2}$
325 < $c^{2}$

To get the smallest possible number, just get the square root of both sides:

$\sqrt{325}$ < $\sqrt{c^{2} }$
18.03 < c

So your smallest possible whole number is 19

5 0

3 years ago

Could someone please answer this question!!?

telo118 [61]

The answer is 14
..........

4 0

2 years ago

Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1,3).

Nataliya [291]

Answer:

Step-by-step explanation:

for two lines to be parallel they MUST have the same slope but have different Y intercepts ( Y axis crossing values)

parallel lines will never intersect each other

first I use a graphing calcuator to solve the problem

I like to use y intercept form better, but you don't have use it

I will try to solve it directly without going through the y intercept equation

x + 5y = 10 in y intercept form y = mx + b is

5y = -x + 10 divide both sides by 5

y = -x/5 + 10/5

y = -x/5 + 2

Now I need to find a parallel line that passes through the x =1 and y = 3 point recall this line will have the same slope = m = -1/5

and a different Y axis crossing point 'b' that we don't know

y = -x/5 + b y = 3 when x = 1 so slove for 'b'

3 = -1/5 + b

3 = -0.2 + b add -0.2 to both sides

3.2 = b

y = -x/5 + 3.2 this is answer in y intercept form

if you multiply both sides by 5

5y = -x + 16 add x to both sides

x + 5y = 16 answer in standard form

THE EASIER WAY TO SOLVE THE PROBLEM IS ......

x + 5y = 10 find a line parallel that passes through x = 1, y = 3

x + 5y = Z Z is an unknown value plug in x and y and solve for Z

1 + 5(3) = Z

Z = 16 so the parallel line in standard form is

x + 5y = 16

same as before, my y intercept method was correct, but not worth the effort

6 0

2 years ago