<span>The wavelength of light measures in at around 20 millionths of an inch, making it incredibly small, too small to be seen with the naked eye an this is why it is not obvious to us. This is the type of thing that must be seen under an extremely powerful tool.</span>
Answer:
Distance between peak height (vertically) of projectile and mountain height = (2975.2 - 1800) = 1175.2 m
Distance between where the projectile lands and ship B = (3188.8 - 3110) = 8.8 m
Explanation:
Given the velocity and angle of shot of the projectile, one can calculate the range and maximum height attained by the projectile.
H = (v₀² Sin²θ)/2g
v₀ = initial velocity of projectile = 2.50 × 10² m/s = 250 m/s
θ = 75°, g = 9.8 m/s²
H = 250² (Sin² 75)/(2 × 9.8) = 2975.2 m
Range of projectile
R = v₀² (sin2θ)/g
R = 250² (sin2×75)/9.8
R = 250² (sin 150)/9.8 = 3188.8 m
Height of mountain = 1.80 × 10³ = 1800 m
Maximum height of projectile = 2975.2 m
Distance between peak height (vertically) of projectile and mountain height = 2975.2 - 1800 = 1175.2 m
Distance of ship B from ship A = 2.5 × 10³ + 6.1 × 10² = 2500 + 610 = 3110 m
Range of projectile = 3188.8 m
Distance between where the projectile lands and ship B = 3188.8 - 3110 = 8.8 m
This problem we can represent as right triangle where we can use basic trygonometric functions.
in this case we have largest side (hypothenuse) of the triangle and we have one angle. The angle we got is the one between side of triangle that is horizontal with the ground and the hypothenuse, meaning that we need sin function to connect relation between angle, known side lenght and unknown side lenght.
sin(alpha) = (side of triangle oposite from observed angle)/(hypothenuse)
sin(41) = x/1503
x = 1503*sin41 = 986.06 meters
Answer is 986.06 meters