Carl is standing at the top of 35 Ft cliff looking down at a rock for motion in the sea. He estimates the angle of depression is
1 answer:
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Data;
- Angle = 30 degree
- Opposite = 35
- Adjacent = x
Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.
SOHCAHTOA
Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Learn more on trigonometric ratio here;
You might be interested in
The volume of a shape is the amount of space in it.
<em>The volume outside the cylinder, but inside the cube is 214.6 cubic inches</em>
The given parameter is:
---- length of the cube
So, the volume of the cube is:
The volume of the cylinder is:
The diameter (d) of the cylinder equals the length of the cube.
This means that:
Divide by 2 to calculate the radius of the cylinder
Also, the height of the cube is::
So, we have:
So, the volume (V) outside the cylinder is:
Hence, the volume outside the cylinder is 214.6 cubic inches
Read more about volumes at:
Answer:
<em>Approximate length of the side adjacent to ∠C is </em><em>7.66 inches.</em>
Step-by-step explanation:
*The appropriate triangle is attached below.
From the diagram, the right triangle ABC has
- Hypotenuse =
The side adjacent to angle C is BC. We can get the length of BC by applying trigonometric operations.
We know that,
Putting the values,
