Asap mark all problems pls show work thx

1. 42.0 meters

2. 16.8

3. 2.3

4. 24.7

5. a. 42.4 b. 10.7

6.4.01

Step-by-step explanation:

1.    so by using soh cah toa: tan40 = x/50

multiply both sides by 50 :  (tan40)50=x

simplify: 42.0m

2. same concept but different values:  tan35=x/24

multiply 24 to both sides: (tan35)24=x

simplify : 16.8m

3. tano^-1 = 20/100

multiply both sides by tan^-1: the angle = tan^-1 (20/100)

Simplify: 2.3 degrees

4. cos o^-1 = 4.6/10

multiply both sides by cos^-1: the angle= cos^-1 (4.6/10)

simplify: 24.7

5. a. tan23= x/100

multiply 100 to both sides: x= 100(tan23)

simplify :42.4

b. you have to find the total height of the building with the antenna and then subtract the height of the building that you found in part a.

tan28=x/100

multiply 100 to both sides : (tan28)100=x

simplify 53.1

subtract the answer to part from 53.1:

53.1-42.4=10.7

6. tan15=x/5

multiply 5 to both sides: x=5(tan15)

simplify: 4.01