Answer: 55
The angles that measures 125 and y make a linear pair (equal 180)
So you just do 180-125 to get y
Arccos(cos 7pi/2)
cos 7pi/2 = cos 630 = cos (630-360) = cos 270 = 0
arccos(0) = 90 since cos 90 = cos 270
(x): 0 - 30 - 45 - 60 - 90
sin (x) 0 - 1/2 - 1/2 √3 - 1/2 √3 - 1
cos (x) 1 - 1/2 √3 - 1/2 √3 - 1/2 - 0
tan (x) 0 - 1/√3 - 1 - √3 - ∞
Rules for sin cos tan value in each quadrant :
quadrant = I(0-90) - II (90-180)- III(180-270) - IV(270-360)
sin (x) = positive- positive - negative - negative
cos (x) = positive- negative- negative - positive
tan (x) = positive- negative- positive - negative
Answer:
=
412
feet
Step-by-step explanation:
The angle of depression is always measured from the horizontal.
A triangle is formed by the lighthouse, the ground and the boat. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the boat. (Alternate angles on parallel lines)
The angle at the top of the lighthouse, inside the triangle is:
90°−27°
=63°
The distance to the boat is the side opposite the angle of
63°
while the height of the lighthouse is the adjacent side.
opposite
adjacent
=tan 63°
distance
210=tan 63°
distance=210×tan 63°=412 feet
Answer:
steps below
Step-by-step explanation:
a) f(x) = (x+2)² - 9
b) y = (x-h)² + k , (h,k) is vertex vertex (-2 , -9)
x intercept: (x+2)² - 9 = 0
x+2 = ± 3
<u>x = 1 or x = -5</u>
y intercept: <u>y = -5</u>
c) attached
d) y ≥ -9 [-9,∞)