We have a triangle where.
a=adjacent leg of A=30 ft
A=90º-(angle of depression)=90º-10º=80º
b=distance between the base of the lighthouse and the ship
tan A= opposite /adjacent.
tan 80º=b /30 ft ⇒b=(30 ft)(tan 80º)≈170.14 ft
Answer: the distance would be 170.14 ft
A=4
The work behind it
-11a+33= -11
-33 -33
-11a=-44
Divide both sides by -11
-44/-11=a
A=4
If the biker keeps a continuos rate he should go 39600 feet in an hour
Answer:
Center: (0, 0)
Radius: 4
Step-by-step explanation:
Circle Standard Equation: (x - h)² + (y - k)² = r²
(h, k) is center
r is radius
We see that our <em>h</em> and our <em>k</em> are both 0.
∴ Our center is (0, 0), origin.
We see that our r² = 16
√r² = √16
∴ Our radius is equal to 4