Question

the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)​

Answer 1

Answer: h = 14.5 ft

Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as

`(sinA)/(a) =(sinB)/(b) =(sinC)/(c)`

i.e., the ratio of a side and the sin of its opposite angle is constant.

So, for this triangle, height is

`(sin46)/(h) =(sin44)/(14)`

`h=(14sin46)/(sin44)`

`h=(10.07)/(0.69)`

h = 14.51

Height of the main sail rounded to the nearest tenth is 14.5 ft.