Answer:
Step-by-step explanation:
If you were to sit in the very top of said tree and look directly straight, your line of vision would be parallel to the ground. The angle of depression is in between your line of vision and the rock. When you look down at the rock, your line of vision to the rock is a transversal between the 2 parallel lines. With this being the case, the angle of depression is alternate interior with the angle made on the ground from the rock to the top of the tree. See the illustration I attached below.
We are looking for the distance on the ground between the tree and the rock, which we will call x. The side opposite the reference angle is the height of the tree and the side adjacent to the reference angle is x. Side opposite over side adjacent is the tangent ratio. Therefore,
and
and on your calculator in degree mode, you will find that
x = 16.08 m
The formula of circumference: 兀×diameter
In this case:
3.14×11
=34.54cm
Nearest hundreth = 2 demical places
Therefore, the answer is 34.54cm.
Hope it helps!
Answer:
If 3 students walked, then according to the given ratios, 18 students would have taken the bus.
Step-by-step explanation:
Given: 3 Walkers
1:2 --> 3:6 walkers to subway
1:3 --> 6:18 subway to bus riders
Answer:
x=36
Step-by-step explanation:
The 2 angles, ∠EAF and ∠FAB are on a straight line. This means they are supplementary, and add to 180 degrees.
So,
∠EAF +∠FAB =180
We know that ∠EAF is 3x and ∠FAB is 2x, so we can substitute them in
3x+2x=180
Combine like terms
5x=180
Divide by 5 on both sides
x=36
So, x=36 degrees, or the last choice
Answer: x=-10
Step-by-step explanation: