the sum of the angles in an ngon (a polygon with n sides) is (n-2)*180
so an octagon has 8 sides and has a sum total of (8-2)*180=1080 degrees
if each of 7 angles is 132, then 1080=?+7*132
1080=?+924
156=?
the 8th angle is 156 degrees
Answer:
20%
Step-by-step explanation:
4/5=.80
1-.80=.20
.20=20%
Do 12x-9 + 141 = 180 (add -9 and 4)
12x +132= 180 (Subtract 132 from 180)
12x =48 (Divide 48 by 12)
x=4
Answer:
328 feet
Step-by-step explanation:
From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)
Step 1
Note that
that 11°50' is just 11 degrees and 50 minutes
60 minutes = 1 degree,
thus 50 minutes = x degree
50/60 degrees
= 0.83°
Hence: 11°50' = 11.83°.
Step 2
We solve using Trigonometric function of tan
tan theta = Opposite/Adjacent
theta = 11.83°
Adjacent = 1568 feet
Opposite = Height of the cliff = x
tan 11.83° = x/1568
Cross Multiply
x = tan 11.83 × 1568
x = 328.429195 feet
Approximately = 328 feet
The height of the cliff is 328 feet