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:
Measures of angles are,
m∠A = (2x)°
m∠B = (x + 14)°
m∠C = (x - 38)°
By triangle sum theorem,
m∠A + m∠B + m∠C = 180°
2x + (x + 14) + (x - 38) = 180
(2x + x + x) + (14 - 38) = 180
4x - 24 = 180
4x = 204
x = 51
m∠A = 2(51)° = 102°
m∠B = (51 + 14)° = 65°
m∠C = (51 - 38)° = 13°
Answer:
That is a parallelogram so that opposite angles are equal.
10x -27 = 2x + 29
x = 7
and therefore those angles equal 43 degrees each
It is a parallelogram, so
angle V + W +X + Z = 360
we know that angle Y + angle W = 2 * 43 = 86 degrees
angle V + angle X = 360 -86 degrees
angle V + angle X = 274 degrees
angle V = 274 / 2 = 137 degrees
Step-by-step explanation:
Answer:
width=2 ft, length=(3x+4)ft
Area of Rectangle=width x length
=2ft . (3x+4)ft
=6x+8 ft sq
Area of Rectangle <56 ft sq
6x+8 ft sq <56 ft sq
6x < 56 ft sq - 8 ft sq
6x < 48 ft sq Substeracting 8 on both sides
6x/6 < 48 ft sq/6 Dividing by 6 on both sides
x < 8 ft sq
Step-by-step explanation:
Your answer would be 9 hours
