Question

Please help BIG POINTS

Answer 1

Explanation:

First Image:

`cos49=(14)/(x)\\`

`x=(14)/(cos49) =(14)/(0.656) =21.34 =21`

Second Image

`tan52=(x)/(20) \\x=20*tan52\\x=20*1.28=25.59\\x=26`

Third Image

`cos15=(x)/(33)\\x=33*cos15\\x=33*0.966\\x=31.87\\x=32`

Fourth Image

`cos16=(x)/(37)\\x=37*cos16\\x=37*0.96\\x=35.56\\x=35`

Fifth Image

`tan51 =JL/14\\`

First, we must calculate the length of JL, the common side of both triangles before calculating KL

So;

`JL=14*tan51\\JL=14*1.23=17.28\\JL=17\\\\Knowing JL now we can calculate KL\\\\Cos72=(KL)/(JL)\\\\Isolating KL\\\\KL=JL*cos72\\KL=17*cos72 = 17*0.31=5.25\\KL=5`