A boat looks up at a light house at an angle of elevation of 23.If the top of the lighthouse is 450 feet higher than sea level,

Question

scZoUnD [109]

3 years ago

5

A boat looks up at a light house at an angle of elevation of 23.If the top of the lighthouse is 450 feet higher than sea level,

what is the horizontal distance from the boat to shore

Mathematics

1 answer:

Oksi-84 [34.3K] · Answer 1 · 2022-11-24T15:41:00+03:00

Answer:

1060 feet

Step-by-step explanation:

A boat looks up at a light house at an angle of elevation of 23.If the top of the lighthouse is 450 feet higher than sea level, what is the horizontal distance from the boat to shore?

We solve the above question using the Trigonometric function of Tangent

tan x = Opposite/Adjacent

x = Angle of Elevation = 23°

Opposite = 450 feet

Adjacent = The horizontal distance from the boat to shore = y

Hence,

tan 23 = 450/y

Cross Multiply

tan 23 × y = 450

y = 450/tan 23

y = 1060.1335646 feet

Approximately = 1060 feet

Therefore, the horizontal distance from the boat to shore is 1060 feet