Answer: a) 503.2m
b) 621.6m
Step-by-step explanation:
The diagram representing the scenario is shown in the attached photo.
A represents her starting point.
CD = x = how far east she is from her starting point
BC = y = how far south she is from her starting point
Angle BAC = 180 - 129 = 51°
Angle ACD = angle BAC = 51° because they are alternate angles
To determine x, we would apply the cosine trigonometric ratio
Cos 51 = x /800
x = 800Cos51 = 800 × 0.629 = 503.2m
To determine y, we would apply the sine trigonometric ratio
Sin 51 = y /800
y = 800Sin51 = 800 × 0.777 = 621.6m
Final answer is 20.7575
20.76 or 20.8 when rounded
Answer:
7.7 seconds
Step-by-step explanation:
To find how long would take to the object fall to the ground from the top of the building, we just need to use the function given (which express the position of the object in a certain time):
s(t) = 16*t2
The height of the tower is 949 feet, so the total height the object will fall is 949 feet. Using this value for s(t), we can find the value of t (the total amount of time that will take to travel this distance):
949 = 16*t2
t2 = 949 / 16
t2 = 59.3125
t = 7.7015 seconds
So it would take 7.7 seconds for the object to fall to the ground from the top of the building.
Given with the function of x which is f(x)=15x² + 360, we are tasked to solve for the value of x. The solution was discussed and shown below:
Set x=0, then we have:
0=15x² + 360
Transpose 360
15x²= -360
Divide by 15
x²= -360/15
x²= - 24
x = sqrt 4*6i
Therefore, the answer is letter B.
Answer:
foot = 5 ft
luff = 20 ft
Step-by-step explanation:
In the picture attached, the diagram of the sail is shown. A right triangle is formed, where 50 ft² is its area, which can be computed as follows:
foot*luff*1/2 = 50
We also know that luff = 4*foot. Replacing into the previous equation:
foot*(foot*4)*1/2 = 50
foot²*2 = 50
foot² = 50/2
foot = √25
foot = 5 ft
luff = 4*5 = 20 ft