80 feet from the base of a tower the angle of elevation to the top is 36 degree find the height of the tower
Use the same setup I just showed you in
http://www.jiskha.com/display.cgi?id=1297404080
58.12
To find the height of the tower, we can use trigonometry, specifically the tangent function.
Let's label the height of the tower as "h". We can then set up the following ratio:
tan(36°) = h/80
Now, let's solve for "h" by rearranging the equation:
h = tan(36°) * 80
To find the value of tan(36°), you can use a scientific calculator or an online calculator.
Calculating tan(36°), we get:
tan(36°) ≈ 0.7265
Now, substitute this value back into the equation:
h ≈ 0.7265 * 80
h ≈ 58.12
Therefore, the height of the tower is approximately 58.12 feet.