Answer:
In fact, the AB could be calculated in a quickest way, using Pythagorean theorem. In here, we try to use the property of trigonometry to work out AB.
Before applying trigonometry, in this right triangle we can calculate the remaining angle C:
C = 180 - 90 - A = 180 - 90 - 53.13 = 36.87 deg
We can use cosine formula, but here we use the sine formula for the sake of convenience. We have:
sine(angle measure) = ratio of opposite side over hypotenuse
In detail, sineC = AB/BC
Then, we have: AB = BC x sineC = 15 x sin(36.87 deg) = 9.000002 = ~9 ft
Hope this helps!
:)
Answer:
Step-by-step explanation:
It will take them 3/4 of an hour together.
Camille can mop and vacuum 1/2 of the house per hour.
Lawrence can mop and vacuum 1/2 of the house per hour.
Gaston can mop and vacuum 1/3 of the house per hour.
Working at this rate for x amount of time, they can all three complete 100% of the job:
1/2x+1/2x+1/3x=1
Combining like terms,
1 1/3x = 1
3/3x + 1/3x = 1
4/3x = 1
Divide both sides by 4/3:
4/3x÷4/3 = 1÷4/3
x = 1/1÷4/3
x = 1/1×3/4
x = 3/4
Answer:
75
Step-by-step explanation:
A triangle can only have 3 angles that add up to 180 degrees. Subtract 70 and 35 from 180 to get 75.
180=x+70+35
180-(70+35)=x
