Clouds

We see the cloud under an angle of 26°10' and the Sun at an angle of 29°15'. The shade of the cloud is 92 meters away from us. Approximately at what height is the cloud?

Correct answer:

h =  368.5484 m

Step-by-step explanation:

α=26°10=26°+6010°=26.1667°26.1667 β=29°15=29°+6015°=29.25°=29.25 l=92 m  h = x   tan β h = (x+l)   tan α x   tan β = (x+l)   tan α x   tan β = x  tan(A) + l   tan α x=l tanα/(tanβtanα)=l tan26.166666666667° /(tan29.25° tan26.166666666667° )=92 tan26.166666666667° /(tan29.25° tan26.166666666667° )=92 0.491339/(0.5600270.491339)=658.09059 m h=x tanβ=x tan29.25° =658.0906 tan29.25° =658.0906 0.560027=368.54844 m  h2=(x+l) tanα=(x+l) tan26.166666666667° =(658.0906+92) tan26.166666666667° =(658.0906+92) 0.491339=368.548 m



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







Tips for related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Do you want to convert length units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

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   video2

Related math problems and questions: