The tangent of the angle gives the ratio of the height of the lighthouse to the boat's distance
.. tan(angle of depression) = (lighthouse height)/(boat distance)
Then the distance to the boat is
.. boat distance = (lighthouse height)/tan(angle of depression)
We want to find the difference between two distances, so
.. boat travel = (lighthouse height)*(1/tan(first angle) -1/(tan(second angle))
.. = (200 ft)*(1/tan(17°31') -1/tan(46°41'))
.. ≈ 445.10 ft
Answer: x^2 + (x+2)(x-2)
Step-by-step explanation:
The caret ^ before the 2 indicates that the 2 is an exponent. It means "x squared"
If the keyboard doesn't allow exponents the caret is the thing to use.
Each long piece is composed of 10 unit blocks (smallest squares).
The three long pieces means that they make up 3*10 = 30 units so far. Add on the 5 extra units and we have 30+5 = 35 units total
If we have 35 squares, then we can group them up into groups of 5. Doing so will leave you with 7 groups.
Answer:
2,3
Step-by-step explanation:
10 and 12 smallest multiple is 2.
12 and 15 smallest multiple is 3.
But these three has no same multiple collectively
Answer:
1/2
Step-by-step explanation:
(-4--2)/(3-7)=-2/-4=1/2