If the quadrilateral below is a rhombus, find the missing measures. mk = 24, jl = 20, and mzmjl = 50°

Step-by-step explanation:

The given length measures are the diagonals of the rhombus, so each side will be the hypotenuse of the triangle with legs half as long:

  √(12² +10²) = √244 = 2√61 ≈ 15.62 . . . . side length

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The given angle measure is half the measure at ∠J. The full measure of ∠J is 100°, so the measure of ∠K is 180° -100° = 80°

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,