Answers:
871
The question cut off at hundredths but Latika was right
Step-by-step explanation:
Answer:
(y, -x -6)
Step-by-step explanation:
<em>The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)</em>
<em />
The first transformation: 6 units right

Where b = 6
So, the new coordinates will be

The second transformation: 90° clockwise

So, the new coordinates will be

<em>Hence, the new coordinates of PQRS is (y, -x - 6)</em>
74/100=34/n
cross multiply proportion
74n=3400
then divide both sides by 74
n= ~46
Answer:
<em>Could an airplane take off and clear this tall building? YES</em>
Step-by-step explanation:
<u>Trigonometry</u>
The building and the ground form a right (90°) angle. The path of the airplane (assumed a straight line) completes the right triangle.
The takeoff angle of the plane θ=15° has the height of the building (450 feet) as the opposite side and the horizontal distance from the end of the runway (2500 feet) as the adjacent side.
The tangent of θ is defined as the following ratio:



Calculating the inverse tangent function:


This means the angle needed to clear the tall building is about 10° and it's within the maximum airplane's takeoff angle.
Could an airplane take off and clear this tall building? YES
Answer:
x = 23 degrees
Step-by-step explanation:
sin theta = opposite side/ hypotenuse
sin x= 9/23
Take the arcsin of each side
arcsin( sinx) = arcsin (9/23)
x = arcsin (9/23)
x=23.03568411
Rounding to the nearest degree
x = 23 degrees