Answer: Casey is standing 52.5 feet from the lighthouse Step-by-step explanation: A right angle triangle is formed. The height of the lighthouse represents the opposite side of the right angle triangle. The distance, h from the lighthouse to where Casey is standing represents the adjacent side of the right angle triangle. Casey's line of sight along the angle of elevation represents the hypotenuse. To determine h, we would apply the tangent trigonometric ratio. Tan 0, =opposite side/adjacent side. Therefore, Tan 58 = 84/h h = 84/tan 58 = 84/1.6 h= 52.5 feet
The volume of the cylinder is given by: V = pi * r ^ 2 * h For h = 12cm: V1 = pi * ((21) ^ 2) * (12) V1 = 16625.30832 cm ^ 3 For h = 11.9cm: V2 = pi * ((21) ^ 2) * (11.9) V2 = 16486.76409 cm ^ 3 The change in volume is given by: V1-V2 = 16625.30832-16486.76409 V1-V2 = 138.54423 cm ^ 3 Answer: the change in the volume is: V1-V2 = 138.54423 cm ^ 3