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To measure the height of a​ cloud, place a bright searchlight directly below the cloud and shine the beam straight up. From a distance of

1100 feet from the​ spotlight, the angle of elevation θ equals 37 degrees, 55 prime. Find the height of the cloud base. 

 Mar 22, 2020
 #1
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We can use  the tangent here....let H  be the  height of the cloud

 

tan  (37° 55')  =   H  / 1100     multiply both sides  by 1100

 

1100 * tan (37° 55')  =  1100 * tan ( 37 + 11/12)°   =   H ≈  856.8  ft

 

cool cool cool

 Mar 22, 2020

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