Luke and Liam found an old castle on a recent hike. 15°
125
The sign said the tower was 30 meters high. Because of social distancing, Luke and Liam stood
meters apart while looking at the top of the castle tower.
Round to the nearest meter.

48 meters

Step-by-step explanation:

First, use trigonometric ratios formula to find the distance of each of them from the tower. The difference between their distance from the tower will give you the distance they stood apart from each other.

Distance of the first person from the Tower with am angle of elevation of 25°:

Height of the tower = 30 meters (opposite side)

Distance from the tower = x (adjacent side)

Multiply both sides by x

Divide both sides by tan(25)

(nearest whole number)

Distance of the second person from the Tower with am angle of elevation of 15°:

Height of the tower = 30 meters (opposite side)

Distance from the tower = x (adjacent side)

Multiply both sides by x

Divide both sides by tan(15)

(nearest whole number)

Distance between both of them = 112 - 64 = 48 meters

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph