Given:
In a right angle triangle θ is an acute angle and .
To find:
The value of .
Solution:
In a right angle triangle,
We have,
It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.
By using Pythagoras theorem,
In a right angle triangle,
Therefore, the value of is
.
Answer:
It had flown 2620 ft along the diagonal.
Step-by-step explanation:
When the plane is taking off it forms we can form a triangle with it's height, horizontal distance and diagonal distance, which can be seen in the attached drawing. We can use the sine relation on the right triangle to determine "x", as shown below:
sin(11°) = 500/x
x*sin(11) = 500
x = 500/[sin(11)] = 2620 ft
It had flown 2620 ft along the diagonal.
