Answer:
72.65m (2dp) is the height of the cliff
Step-by-step explanation:
The height of the cliff can be calculated using trigonometry
Since we know the angle of elevation and the adjacent = side of the angle, and we are looking for the opposite side of the angle, which say is h, we will use tan since we are not dealing with the hypotenuse
tan(36) = h/100
100tan(36) = h
h = 72.65m (2dp)
I have attached a diagram as reference
Answer:
Let x represents the Sara eat pancake and y represents the Phil eat the pancake.
As per the statement:
Phil ate three less than twice as many pancakes as Sara.
"Twice as many pancake as Sara" means 2x
"three less than twice as many pancakes as Sara" means 2x -3
⇒ .....[1]
It is also given that together they combined to eat 15 pancakes.
⇒ .....[2]
Substitute equation [1] into [2] we get;
Combine like terms;
3x-3 =15
Add 3 to both sides we get;
3x = 18
Divide both sides by 3 we get;
x = 6
Substitute the value of x in [1] we get;
y = 2(6)-3 = 12-3 =9
y = 9
Therefore, the pancakes did each eat are;
Sara eat pancake = 6 and Phil eat pancake = 9