Answer:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Step-by-step explanation:
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees
Using SohCahToa, to calculate the height
Tan 54 = height/2000
Height = 2000 tan54 = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = root ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet
Using pythagorean theorem again
Tan 24 = 2752.8/distance
Distance = 2752.8/tan24
Distance = 6182.9 feet
Answer:
<u>yes your formula is correct </u>
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
5) since (x-a)^2+(y-b)^2=r^2
plug in (-5,2) as (a,b) and r=3
Making the equation:
(x+5)^2+(y-2)^2=9
6) (x-0)^2+(y-0)^2=r^2
since we have (0,5)
0^2+5^2=r^2
Final equation: x^2+y^2=25
60 degrees. Since 2 is 1/6 the total clock which is 360 so then you just multiply to get this answer.
