Given:
In the given triangle,
With respect to 30°, the perpendicular = 9, the base = x and the hypotenuse = y
To find the value of x and y.
Formula
By Trigonometric ratio we get,
and
Now,
Putting, perpendicular = 9 and we get,
or,
or, [ by cross multiplication]
Again,
or,
or, [ by cross multiplication]
Hence,
The value of x and y is 9√3 unit and 18 unit respectively.
Answer
Find out the how much twine will he needs to pack 29 cartons today .
To proof
As given
uhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs.
As given in the question
Convert the answer to larger units .
As between yard is the largest unit between yard, feet and inches.
and
Convert 2 feet into yard
Convert 4 inches into yard
twine to wrap each carton packs
L.C.M of (3 , 36) = 36
than the equation becomes
=1.77777778 yard
Now twine to wrap pack 29 cartons = 29× 1.77777778
= 51.5555556 yard
Now twine to wrap pack 29 cartons is 51.55 yard ( approx)
Hence proved