Answer:
Height of the light house ![=7.5\ feet](https://tex.z-dn.net/?f=%3D7.5%5C%20feet)
Step-by-step explanation:
Distance of light house from boat = 100 ft
Angle of elevation from boat to the top of light house = 2°
Height above water while taking measurement = 4 ft
The figure of the situation is shown below.
For Δ ABC
![\tan2\°=\frac {AB}{BC}](https://tex.z-dn.net/?f=%5Ctan2%5C%C2%B0%3D%5Cfrac%20%7BAB%7D%7BBC%7D)
![\tan2\°=\frac {AB}{100}](https://tex.z-dn.net/?f=%5Ctan2%5C%C2%B0%3D%5Cfrac%20%7BAB%7D%7B100%7D)
![0.035=\frac {AB}{100}](https://tex.z-dn.net/?f=0.035%3D%5Cfrac%20%7BAB%7D%7B100%7D)
Multiplying both sides by 100.
![100\times 0.035=100\times\frac {AB}{100}](https://tex.z-dn.net/?f=100%5Ctimes%200.035%3D100%5Ctimes%5Cfrac%20%7BAB%7D%7B100%7D)
![3.5=AB](https://tex.z-dn.net/?f=3.5%3DAB)
∴ ![AB=3.5](https://tex.z-dn.net/?f=AB%3D3.5)
Height of the light house ![=3.5+4=7.5\ feet](https://tex.z-dn.net/?f=%3D3.5%2B4%3D7.5%5C%20feet)
Its A hope this helped 100% correct
Answer: B 65 and C 275
Step-by-step explanation:
Just divide by 3 then multiply by 5
Answer:
the answer should be 9/14
Step-by-step explanation:
you add them all up then subtract the red for your denominator
then just put the number of white on top for your numerator
Answer:
option B (28/52)
Step-by-step explanation:
from probability
P(A∪B)=P(A)+P(B)-P(A∩B)
where
P(A∪B) = probability that event A or B happen
P(A∩B) = probability that event A and B happen simultaneously
P(A) = probability that event A happen
P(B) = probability that event B happen
the probability that the card is special or red
P( special or red)= P(special) + P(red) - P( special and red)
since
P(special)= 4/52
P(red) = 26/52
P( special and red) = 2/52
therefore
P( special or red)= 4/52 + 26/52 - 2/52 = 28/52
P( special or red)= 28/52
(option B)