Answer:
The flag pole is 38.96 feet tall.
Step-by-step explanation:
The angle of depression from the top of the flagpole to an object on the ground is 33°.
The object is 60 feet from the base of the cliff.
We need to find the height of the flag pole.
Here, base, B = 60 feet
We know that,
Put all the values to find P.
So, the flag pole is 38.96 feet tall.
Answer:y=4x+11
Step-by-step explanation:
Substitute the coordinates in each of the above equations,
Then the left hand side of the equation should be equal to the right hand side of the equation.
By substituting the above coordinates in the second answer,
-1= 4(-3)+11
-1=-1
Step-by-step explanation:
h = height of rectangle (should be "length", but ok)
w = width of rectangle
w = h + 97
the diagonal of the rectangle is the Hypotenuse (baseline) of a right-angled triangle with the legs being one height and one width side of the rectangle.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
diagonal² = h² + (h + 97)² = h² + h² + 2×97h + 97²
113² = 12769 = 2h² + 194h + 9409
3360 = 2h² + 194h
1680 = h² + 97h = (h + 97/2)² - 9409/4
(completing the square)
6720/4 + 9409/4 = (h + 97/2)²
16129/4 = (h + 97/2)²
127/2 = h + 97/2
30/2 = h = 15
the height is 15.0 in
Answer:
C. 3,960
Step-by-step explanation:
∆ADB ~ ∆EDC. Therefore,
(substitution)
Solve for x
Cross multiply
5x - 3x = 7,920
2x = 7,920
x = 7,920/2
x = 3,960 meters
Answer:
N/4
Step-by-step explanation:
quotient is the same as division
since we don't know what the number is we use n as the variable
so n/4
Hope this helps
