Answer:
V = 240
Step-by-step explanation:
To find the volume of a rectangular prism use this equation:
V = l*w*h
l = length (20 cm)
w = width (4 cm)
h = height (3 cm)
Plug all these values into the equation and solve:
V = (20 cm)(4 cm)(3 cm)
V = (80 )(3 cm)
V = 240
Therefore, the volume of the rectangular prism is 240 .
I hope this helps! Good luck!
Answer:
Height of the mountain is 5108.80 feet.
Step-by-step explanation:
From the figure attached, h is the height of a mountain AB.
At a point C angle of elevation of the mountain is 24°
Now survey team gets closer to the mountain by 1000 feet then angle of elevation is 26°.
Now from ΔABC,
tan24 =
0.445 =
h = 0.445(x + 1000)------(1)
From ΔABD,
tan26 =
0.4877 =
h = 0.4877x -----(2)
Now we equation 1 and equation 2
0.4452(x + 1000) = 0.4877x
0.4877x - 0.4452x = 1000(0.4452)
0.0425x = 445.20
x =
x = 10475.29 feet
Now we plug in the value of x in equation 2.
h = (10475.29)×(0.4877)
h = 5108.80 feet
Therefore, height of the mountain is 5108.80 feet
