Question

i will medal anyone who helps please.its geometry


Using the Tangent ratio, find BC, the height off the ground where the plank touches the wall.
Round to the nearest tenth of a foot. (10 points)

Answer 1

just the second question please

Answer 2

The problem does tell you to use the tangent ratio.
Do you know what the tangent is equal to?
It is the ratio of the length of which sides of a right triangle?

Answer 3

i dont know what its equal to no

Answer 4

Look in the figure above.
The since, cosine, and tangent are defined according to triangle side length ratios.
The way to remember is SOHCAHTOA
SOH: sine = opp/hyp
CAH: cosine = adj/hyp
TOA: tangent = opp/adj

Answer 5

Ok. We see that the tangent ratio is the ratio of the lengths of the opposite leg to the adjacent leg.

Answer 6

Now look in the figure with your problem.
For angle C, whose measure we know, which side is the adjacent leg?

Answer 7

im still really confused

Answer 8

Do you need a more basic explanation?
I can do it, I just need to find out how much I need to explain.

Answer 9

lol very basic would help so much

Answer 10

Ok. I will explain.
Every time I post a response, read it, and respond ok for me to continue.
The goal is for you to understand.
Ok?

Answer 11

ok

Answer 12

A triangle has 3 sides.
In the case of right triangle, two of the sides form a right angle.
A right angle is an angle with a 90 degree measure.

Answer 13

ok

Answer 14

The three sides of a right triangles have names.
The two sides that form the right angle are called "legs."
The side opposite the right angle is called "hypotenuse."
The hypotenuse is always the longest side of a right triangle.

Answer 15

ok

Answer 16

The trigonometric ratios are ratios of lengths of sides of right triangles.

Answer 17

The main three trig ratios are called: sine, cosine, and tangent.

Answer 18

ok

Answer 19

Ok?

Answer 20

ok

Answer 21

?

Answer 22

Look at the right triangle below.
We are interested in angle A.

Answer 23

ok

Answer 24

The sine ratio is defined as follows:

\(\sin A = \dfrac{opposite ~leg}{hypotenuse}\)

Answer 25

kk

Answer 26

The sine of angle A is the ratio of the lengths of the opposite leg to the hypotenuse.

Answer 27

k

Answer 28

In a right triangle there is only one hypotenuse. When we say the hypotenuse, we know exactly which side we are referring to.

In a right triangle, there are two legs. In general, the sides of right triangle that form the right angle are called just legs. In trig we need to distinguish between the legs, so we need to call the legs by different names to know which leg we are referring to.

Answer 29

If you pick one of the acute angles of a right triangle, one leg is next to it. We call that leg the "adjacent leg" since adjacent means next to. That leg is next to that angle.

Answer 30

k

Answer 31

Once again, if you pick one of the acute angles of a right triangle, the other leg is across from that angle. We call that leg the opposite leg since opposite (in this case) means across from.