Answer:
150.12
Step-by-step explanation:
From the observation deck of a lighthouse 70 meters above sea level, the lighthouse keeper can see a fishing boat at a 25 degree angle of depression.What is the horizontal distance, to the nearest meter, from the base of the lighthouse to the fishing boat?
We solve the above question using the Trigonometric function of tan
tan y = Opposite /Adjacent
y = 25°
Opposite = 70m
Adjacent = x = Horizontal distance
Therefore:
tan 25 = 70m/x
tan 25 × x = 70m
x = 70m/tan 25
x = 150.11548444m
Approximately = 150.12m
The horizontal distance, to the nearest meter, from the base of the lighthouse to the fishing boat is 150.12m
Answer:
7
Step-by-step explanation:
Answer:
6 cm
Step-by-step explanation:
A = 4πr^2
4πr^2 = 36π cm^2
r^2 = 9 cm^2
r = 3 cm
d = 2r = 6 cm
Let's say 2y < 18 - 2x
so
4x - 2y > 3
4x - 18 - 2x > 3
2x > 21
2x/2 > 21/2
x > 10.5
2y < 18 - 2(10.5)
2y < 18 - 21
2y < -3
y < 1.5
Answer:
n = -40/9
Step-by-step explanation:
Let n = the number
(1/2)n - 2/3 = (1/5)n - 2
Multiply both sides by 30, which will get rid of the fractions.
15n - 20 = 6n - 60
9n = -40
n= -40/9
Hope this helps.