Answer:
The distance you are from the base of plateau = 
Step-by-step explanation:
Given:
Height of plateau = 70 m
Angle of elevation to the top of plateau = 35°
To find the distance you are from the base of plateau.
We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.
We will apply trigonometric ratio to find the adjacent side.

where
represents the angle of reference.
Plugging in the values from the triangle.


Multiplying both sides by AC.


Dividing both sides by 

∴ 
The distance you are from the base of plateau = 
Answer:
35
Step-by-step explanation:
because she charges 5$ an hour and 7x5 is 35
The best way to solve this equation is to simplify it. So first you’ll distribute the -2 on the left side. This will give you the equation -2t+8=10-2t. Now you bring t to one side by adding 2t to both sides. You will find that t cancels out and you are left with 8=10. Since this statement isn’t true there are no solutions to this equation.
Just in case:
This slope goes through (0,0) or more formally, the origin.
Answer:
The tree is 6.36 meters tall.
Explanation: Let AB is tree of height h
t
=
? and CD is Tonya h
g
=
1.3 meter tall at A
C
= 7 meters in front of tree . The shadow C
E
=
1.8 meters long . So two similar triangles are formed , one Δ
A
E
B and other Δ
C
E
D
. So A
B
C
D
=
A
E
C
E or h
t
h
g
=
A
E
A
C or h
t
h
g
=
A
C
+
C
E AC or h
t 1.3
=
7
+
1.8
1.8 or h
t
=
8.8
⋅
1.3
1.8
≈
6.36
(
2
d
p
)m
The tree is 6.36 meter tall.