<span><u>Answer
</u>
18 feet and 4.5 inches
<u>Explanation
</u>
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
EC/BC=ED/BA=2/7
BA=7/2×63 in
The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.
</span>
Answer:
cosФ =
, sinФ =
, tanФ = -8, secФ =
, cscФ =
, cotФ = 
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
- cosФ =

- sinФ =

- tanФ =

- secФ =

- cscФ =

- cotФ =

- Where r =
(the length of the terminal side from the origin to point (x, y)
- You should find the quadrant of (x, y) to adjust the sign of each function
∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r = 
∵ x = 1 and y = -8
∴ r = 
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ = 
∴ cosФ =
∵ sinФ = 
∴ sinФ = 
∵ tanФ = 
∴ tanФ =
= -8
∵ secФ = 
∴ secФ =
= 
∵ cscФ = 
∴ cscФ = 
∵ cotФ = 
∴ cotФ =
Answer:
33.3333% decrease
Step-by-step explanation:
Percent change formula:
, where x is the new value and y is the starting value.
Plug in values and solve:

-33.3333% change, or a 33.3333% decrease.
Answer:
Triangle GAS = Triangle IOL by rule AAS
Step-by-step explanation:
The points must be ordered correctly so they correspond within the triangles. Point G = Point I, Point A = Point O, Point S = Point L.
A rule for determining Triangle Congruency is AAS. If two angles and a side of a triangle are equal to one of another triangle, the triangles are congruent.
Answer:
y=-1/5x-9/5
Step-by-step explanation:
y=-5x-9
x=-5y-9
-5y=x+9
y=-1/5x+9/-5
y=-1/5x-9/5