Answer:
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
