Find the height of the tower the radio tower is 350°and the angle of elevation to the top of the tower is 39°
Thank you
Not sure what you mean when you say
the height of the tower the radio tower is 350°
that makes no sense.
In any case, review your basic trig functions. You will need to use either
cosine or tangent to find the height.
To find the height of the tower, you can use trigonometric ratios. In this case, you can use the tangent ratio.
1. Draw a diagram depicting the situation. Label the radio tower as 'T', the angle of 39° as 'A', and the height of the tower as 'h'.
T
/|
/ |
/ |
h/ |
/ |
/ |
/ A |
/______|
2. Identify the sides of the triangle involved. In this case, the side opposite to angle A is the height of the tower (h), and the side adjacent to angle A is the distance from the observer to the tower (which is unknown).
3. Use the tangent ratio: tan(angle) = opposite / adjacent. In this case, tan(39°) = h / unknown adjacent side.
4. Rearrange the equation to solve for the height (h): h = tan(39°) * adjacent side.
5. Substitute the known angle in degrees (39°) and find the tangent of that angle using a scientific calculator or trigonometric table.
6. Multiply the tangent of 39° by the length of the adjacent side to solve for the height of the tower.
It's important to note that you didn't specify the length of the adjacent side in your question. Knowing the length of the adjacent side is necessary to find the height of the tower using the given information.