Two boats

Two boats are located from a height of 150m above the lake's surface at depth angles of 57° and 39°. Find the distance of both boats if the sighting device and both ships are in a plane perpendicular to the lake's surface.

Correct answer:

x =  87.8234 m

Step-by-step explanation:

h=150 m α=57  β=39   tan α = h:x1 tan β = h:x2  x1=h/tanα=h/tan57° =150/tan57° =150/1.539865=97.41114 m x2=h/tanβ=h/tan39° =150/tan39° =150/0.809784=185.23457 m  α > β , x2>x1 x=x1x2=97.4111185.2346=87.8234 m



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you want to convert length units?
See also our right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: