Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
Answer:
11 1/2
Step-by-step explanation:
Answer:
The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE
Step-by-step explanation:
AE is a continuous line with consistent slope.
AC is a segment of this line and is the hypotenuse of triangle ABC.
CE is also a segment of AE and is the hypotenuse of triangle CDE.
Hope this helps.