Since we know that there are 180° in π radians, then, how many degrees are there in 7π/12 radians?
Answer:
110sin(72°) feet
Step-by-step explanation:
In the right triangle with the 110 ft ladder as the hypotenuse, the side opposite the 72° angle represents the maximum height the ladder will reach. The definition of the sine function tells you ...
Sin = Opposite/Hypotenuse
so the Opposite side will be ...
ladder height = (110 ft)sin(72°)
The diagonal line is equal to

using pythagoras' theorem of

. This gives us a value of 51m for the diagonal line.
TOTAL; 51+24+45=120m of fencing
In this situation, there are 2 separate terms (parts of the story). The first part is the information about the coupon that applies to the daily rate of $40. You will represent this as 0.75 (for the 75% that you will be paying) x 40. (The other part of this story is that you are paying $0.15 per mile which is represented as 0.15m. You need to put these together to get 0.75(40) + 0.15m. The 0.25 times 40 can be simplified to say 30, so write it as $30 + $0.15m.
77.5%
Change to decimal:-
77.5 ÷ 100 = 0.775
775/1000
31/40
77.5% = 31/40