1 Answer

Akshaypjoshi · Answer 1 · 2020-06-28T14:09:15+0000

Answer:

h = 28, x = 33

Explanation:

First step:

use sine:

sine=(opposite)/(hypotenuse)

We have:

$m\angle A=39^o,\ hypotenuse=45,\ opposite=h$

$\sin39^o\approx0.6293$

Substitute:

(h)/(45)=0.6293 multiply both sides by 45

$h=28.3185\to h\approx28$

Second step:

Use tangent:

tangent=(opposite)/(adjacent)

We have:

$m\angle BDC=40^o,\ opposite=28,\ adjacent=x$

$\tan40^o\approx0.8391$

Substitute:

(28)/(x)=0.8391

(28)/(x)=(8391)/(10000) cross multiply

8391x=280000 divide both sides by 8391

$x\approx33.3691\to x\approx33$