If the distance from the boat to the lighthouse is 115 meters and the angle of elevation is 42°, which of the following equations will find the height of the lighthouse? tan 42° = tan 42° = cos 42° = cos 42° =

tan 42° = opposite/115m

Step-by-step explanation:

If we make an imaginary triangle out of this, we have the angle (42°) and the adjacent side length(distance from the boat to lighthouse= 115). We are asked to find the opposite side length (height of the lighthouse). The trigonometry that uses adjacent and opposite length is tan. The calculation will be:

tan x= opposite/adjacent

tan 42° = opposite/115

opposite= 0.90 * 115

opposite= 103.5 meter

42

Step-by-step explanation: