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:
Step-by-step explanation:
"length is 4 meters less than 2 times the width"
L = 2W+4
"perimeter is 40 meters"
2L+2W = 40
L+W = 20
(2W+4) + W = 20
3W + 4 = 20
W = 16/3 meters
Area of a semi-circle = 1/2 x x r square.
area of larger semi circle
= 1/2 x x 10 square
= 50
area of smaller semi circle
= 1/2 x x 5 square
= 12.5
Total area = 50 + 12.5 = 196 cm square ( to 3 sf ) or 62.5
9x - 5 = 22
9x = 22 + 5
9x = 27
x = 3
Answer:
Depth of Martens aquarium water = 14 cm.
Step-by-step explanation:
Given:
An aquarium,which is a right rectangular prism.
Length of the aquarium, 
= 18.5 cm
Width of the aquarium, 
= 15 cm
Volume of the aquarium, 
= 3885 cm cubes
We have to find the depth of the aquarium.
Let the depth be 
cm.
Note:
Volume of the rectangular prism,V=lbh.
⇒ = 
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
cm
So,
The depth of the aquarium water is 14 cm.
