A ladder is leaning against a brick building as shown in the figure. What
is the length of the ladder?
x ft
20 ft
15 ft

Using the function

sin

, we can find the desired angle. It is helpful, first of all, to draw a picture. H is the ladder, O is the building, and A is the ground . As you can see, it looks like a triangle:

https://www.allaboutcircuits.com/textbook/reference/chpt-5/right-triangle-trigonometry/

https://www.allaboutcircuits.com/textbook/reference/chpt-5/right-triangle-trigonometry/

We know some of the lengths in this diagram.

H = 20

O = 15

We are trying to find

∠

x

, because that is the "angle of elevation the ladder makes with the ground". There are 3 functions used to find angles in a right triangle by dividing different sides of the triangle. They are:

tan

=

A

O

,

sin

=

O

H

,

cos

=

A

H

Which of these do we use? Well, which of these functions do we know the values of? The only one with both

O

and

H

is

sin

, so that is the function we will use.

sin

∠

x

=

O

H

sin

∠

x

=

15

20

sin

∠

x

=

0.75

Now, using your calculator, hit

2

n

d

and then

sin

. This will find the angle that make this decimal. It should say:

48.59

, so we know that:

∠

x

=

48.59

25 ft

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

15^2 + 20 ^2 = x^2

225+400= x^2

625 = x^2

Take the square root of each side

sqrt(625) = sqrt(x^2)

25 = x

use substitution to solve each system of equations. y = x + 5 3x + y = 25 62/87,21 y = x + 5 3x + y = 25 substitute x + 5 for y in the second equation. substitute the solution for x into either equation to find y. the solution is (5, 10)

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step-by-step explanation:

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: