210, 310, 320, 410, 420, etc.
I think it is 1200 people. Because if 40% are female and there are 480 females, then do 480 x 2 and that equals 960 then half of 480 is 240 so add 960 to 240 and you get 1200 as the total amount of people there. I'm not sure if it's right, but it should be.
Answer: the height of the lighthouse is 838.8 feet
Step-by-step explanation:
The right angle triangle ABC illustrating the scenario is shown in the attached photo.
The angle of depression and angle A are alternate angles, hence, they are the equal.
The height, h of the lighthouse represents the opposite side of the right angle triangle. The distance of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine h, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 62 = h/446
h = 446tan62 = 446 × 1.8807
h = 838.8 feet to the nearest tenth.
AB + BC = AC <em>Segment Addition Postulate</em>
(x + 10) + (x + 14) = 22 <em>Substitution</em>
2x + 24 = 22 <em>Simplify (added like terms)</em>
2x = -2 <em>Subtraction Property of Equality</em>
x = -1 <em>Divison Property of Equality</em>
Answer: x = -1