Answer:
The answer to your question is x = 3.356 cm
Step-by-step explanation:
This is a right triangle so we can use the Trigonometric functions to solve this problem.
Data
Ф = 40°
Adjacent side = 4 cm
Opposite side = x
Process
1.- We must know the lenght of the opposite side so we must use the tangent to solve it.
tangent Ф =
2.- Solve it for Opposite side
Opposite side = tanФ x Adjacent side
Opposite side = tan 40° x 4
Opposite side = 0.839 x 4
Opposite side = 3.356
Opposite side = x = 3.356 cm
Answer: 8.6 from Ranger Christ and 6.8 from Ranger Rick
Step-by-step explanation:
The sides of triangle with A point as Ranger christ, B point as Ranger rick and C point at which two fires intersect.
This can be better understood by using law of sines
=
=
Solving we get
a= 8.6
and b= 6.8
Area of the plot = 193 sq.yd. , Option B is the correct answer.
<h3>What is Area ?</h3>
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
To know more about Area
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