A drone sees a ship in bay 30 miles from one lighthouse and 18 miles from another what is the distance between the light houses if the angle formed at the ship to both lighthouse is 62 degrees

Distance between the lighthouses is 26.78 miles.

Step-by-step explanation:

Distance between the ship A and lighthouse B = 18 miles

Distance between ship B and lighthouse C = 30 miles

Angle formed at the ship to both the lighthouses = 62°

By applying cosine rule in the given triangle,

(BC)² = (AB)² + (AC)² - 2(AB)(AC)cos(∠A)

(BC)² = (30)² + (18)² - 2(30)(18)cos(62°)

(BC)² = 900 + 324 - 507.03

         = 716.97

BC = √716.97 = 26.78 miles

Therefore, distance between the lighthouses is 26.78 miles.

$18 was the price of the t-shirt

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."