Answer:
The height of the tree is 16.67 feet.
Step-by-step explanation:
Refering the figure, let the height be "x" feet.
It is evident that triangles ABC and triangle EDC are similar.
(as both man and tree are perpendicular to the ground)
thus,
hence,
Thus, .
Answer:
22.5 grams of 10% cream is mixed with 37.5 grams of 2 % cream to prepare 60 grams of 5% cream.
Step-by-step explanation:
Let x grams of 10% cream is mixed with y grams of 2 % cream to prepare 60 grams of 5% cream.
So, x + y = 60 ............ (1) and
⇒ 10x + 2y = 300
⇒ 5x + y = 150 ............ (2)
Now, solving equations (1) and (2) we get,
4x = 150 - 60 = 90
⇒ x = 22.5 grams
So, y = 60 - x = 37.5 grams. (Answer)