θ = 43°, Adjacent side = 109 ft, Hypotenuse =
hypotenuse | 45.43 meters
= 149 feet
= 149' 0.4643"
length of side opposite specified angle | 30.98 meters
= 101.6 feet
= 101' 7.73"
It’s about 149 feet
cos 43° = adjacent / hypotenuse
cos 43° = 109/h
h x cos 43° = 109
h = 109 / cos 43°
h = 149.04 feet
cos 43° = 109 / h
h = 136•7 ft.
I have changed theta to x. By definition, (adjacent side/hypotenuse) = cos(x), where
x is the angle between the hypotenuse and adjacent side. Here, x = 43° and adjacent
side = 109 ft. Therefore, since hypotenuse = (adjacent side)/cos(x), we have;
hypotenuse = [109/cos(43°)] ft = 149.0386933 ft or 149 ft rounded to 3 sig. fig.
Use
cos(43) = 109/x
xcos(43) = 109
x = 109/cos(43)
x = 149 ft answer//
Rule
cosθ = Adjacent/Hypotenuse
θ = 43°, Adjacent side = 109 ft,
If x is the hypotenuse:
cos(43°) = 109/x
x cos(43°) = 109
x = 109/cos(43°)...
You can finish from here. 😁😁
cos Θ = adjacent divided by hypotenuse
cos 43⁰ = 109/x
x = 109/cos(43⁰)
x = 149.039 ft
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Answers & Comments
θ = 43°, Adjacent side = 109 ft, Hypotenuse =
hypotenuse | 45.43 meters
= 149 feet
= 149' 0.4643"
length of side opposite specified angle | 30.98 meters
= 101.6 feet
= 101' 7.73"
It’s about 149 feet
cos 43° = adjacent / hypotenuse
cos 43° = 109/h
h x cos 43° = 109
h = 109 / cos 43°
h = 149.04 feet
cos 43° = 109 / h
h = 109 / cos 43°
h = 136•7 ft.
I have changed theta to x. By definition, (adjacent side/hypotenuse) = cos(x), where
x is the angle between the hypotenuse and adjacent side. Here, x = 43° and adjacent
side = 109 ft. Therefore, since hypotenuse = (adjacent side)/cos(x), we have;
hypotenuse = [109/cos(43°)] ft = 149.0386933 ft or 149 ft rounded to 3 sig. fig.
Use
cos(43) = 109/x
xcos(43) = 109
x = 109/cos(43)
x = 149 ft answer//
Rule
cosθ = Adjacent/Hypotenuse
θ = 43°, Adjacent side = 109 ft,
hypotenuse | 45.43 meters
= 149 feet
= 149' 0.4643"
length of side opposite specified angle | 30.98 meters
= 101.6 feet
= 101' 7.73"
If x is the hypotenuse:
cos(43°) = 109/x
x cos(43°) = 109
x = 109/cos(43°)...
You can finish from here. 😁😁
cos Θ = adjacent divided by hypotenuse
cos 43⁰ = 109/x
x = 109/cos(43⁰)
x = 149.039 ft