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
The equation of a line is Y=mx+b
You know that the slope is -2 and the slope is 'm' so sub it into the equation.
Y=-2x+b
To have an equation of a line you need the 'b' or 'y' intercept and the slope.
This means you have to find the 'b' because you already know the slope which is -2. To find the 'b' you have to sub in the coordinates and then solve for 'b'
Y=-2x+b
(x,y)
(3,0)
0=-2(3)+b
0=-6+b
6=b
Therefore the equation of the line is Y=-2x+6 <span />
Answer:
7 Celsius
Step-by-step explanation:
Initial temperature at 12pm is 1 Celsius.
Rises by 6 (add by 6).
Answer:
to the fourth power, over 25 = 52 A… Get the answers you need, now! ... B. By simplifying 25 to 52 to make both powers base five and adding the exponents ... was used to simplify the expression is D. By finding the quotient of the ... rules of exponents simplify the expressions below: 2 4 3 0 4 6 4 -3 2 3 2.
Step-by-step explanation:
