they both small and Rocky
Answer:
36 °
Step-by-step explanation:
In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.
Tan A ° = opposite / adjacent
replacing:
Tan A ° = 50/68
Tan A ° = 0.735
A ° = arc tan (0.735)
A ° = 36.32
Which means that the angle of inclination is 36°
Answer:
<h3>13 years</h3>
Step-by-step explanation:
Let the present age of Alicia be x
Let the present age of her brother be y
Three years ago;
Alicia age = x - 3
Her brother's age = y - 3
If three years ago Alicia was twice as old as her brother Carlos, then;
X - 3 = 2(Y-3)
x-3 = 2y - 6
x = 2y - 3 ...1
In two years time;
Alicias age = x+2
Her brother's age = y +2
If in two more years Alicia will be just 50% older than Carlos, then;
x+2 = y + 2 + (0.5(y+2))
x+2 = y+2 + 0.5y + 1
x+2 = 1.5y+3
x = 1.5y + 1 ...2
Equating 1 and 2;
2y - 3 = 1.5y + 1
2y - 1.5y = 1+3
0.5y = 4
y = 4/0.5
y = 8
Since x = 2y-3
x = 2(8) - 3
x = 16-3
x = 13
Hence Alicia will be 13 years old today
