Given: △fkl, fk=a, m∠f=45°, m∠l=30° find: fl

The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL.  This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.

Find the lengths of FM and ML.  Then, FM + ML = FL

FM

ΔFKM (45°-45°-90°): FK is the hypotenuse so FM =

ML

ΔLKM (30°-60°-90°): from ΔFKM, we know that KM = , so KL =  

FM + ML = FL

=

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

what? ?

what type of question is thiss

step-by-step explanation: