Answer:
x is 5
Step-by-step explanation:
Answer:
The missing side, a = 100.50
Step-by-step explanation:
The given information are;
A = 18
B = 28
C = 100
a = Required,
The number of data points in the definition = 3, therefore, the figure is a three sided figure or a triangle
The sum of the given data is 18 + 28 + 100 = 146 which is less than the sum of the interior angles of a polygon, the minimum of which is 180° for a triangle.
However, the length of the two sides A and B are less than the third side C, therefore, the sides need more length for them to form a triangle
The fourth required information can be taken as the fourth side of a trapezium, to give;
Length of a = √((28 - 18)² + 100²) = 100.499, which can be written to the nearest 10th as 100.50.
With what? there’s no problem.
A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.
If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft
Therefore, the house is 12.20 ft tall
