Answer: The tall cliff is 118.20 feet tall and the short cliff is 70.32 feet tall.
If you draw a picture with 2 cliffs and a river in the middle, you have find 2 right triangles. In each triangle the adjacent side to our known angle is the river of 90 feet. And the unknown side is the opposite leg.
Therefore, we can set up a tangent equation.
From the top of the short cliff to the top of the tall cliff, we can right and solve the following trig equation:
tan(28) = x /90
x = 47.88
From the top of the short cliff to the bottom, we can right and solve the following trip equation.
tan(38) = x/90
x = 70.32
The 70.32 is also the height of the short cliff. And adding the two answers together will give you the height of the tall cliff.
Answer:
Naomi must buy a minimum of 5 blocks of cream cheese.
Explanation:
2.75 pounds = 44 ounces
44 oz divided by 8 oz (per block) =
5.5 blocks of cream cheese
She already has 4 oz of cream cheese so subtract 1/2 block of cream cheese.
She needs to buy at least 5 blocks.
Answer:
$1.20
Step-by-step explanation:
A dime is worth 10¢.
10¢ x 12 = 120¢
Since a dollar is 100¢, James would have a dollar and 20¢ left over. So, $1.20.
Answer:
y = 18 / (x + 2)²
Step-by-step explanation:
Inversely proportional
y * (x + 2)² = k
when x=1, y=2
k = 2 * (1 + 2)²
k = 18
-----------------------
y * (x + 2)² = 18
Divide both sides by (x + 2)²
y = 18 / (x + 2)²
8/10 = 4/5 would be the answer
