A man 1.83mtall standsat a distanceof 14.8maway from thebase ofa tower giventhat th angleofelevation is63.findtheheight
height=1.83 + 63*tanAngle
and tangent (tan) can be found easily.
well, if you mean the angle of elevation from the top of the man's head, then if the height of the tower is h, you can see from the diagram that
(h-1.83)/14.8 = tan63°
so now just solve for h.
I NEED THE ANSWERS IN DETAILS
I DONT UNDERSTAND
You need to review the basic trig functions.
If you draw the diagram, and understand the tangent function, this is easy.
(bobpursley misread the question, I think)
Tan63 = Y/X = Y/14.8.
Y = 14.8*tan63 =
h = 1.83 + Y =
To find the height of the tower, we can use trigonometry and the given information. Here are the steps:
Step 1: Draw a diagram to visualize the situation. Label the height of the man as "h1," the distance from the man to the base of the tower as "x," and the height of the tower as "h2."
Step 2: Identify the relevant trigonometric ratio. Since we are given the angle of elevation and want to find the height of the tower, we should use the tangent ratio. The tangent of an angle is equal to the ratio of the length of the opposite side to the length of the adjacent side.
Step 3: Set up the trigonometric equation using the tangent ratio. In this case, we have the equation:
tan(63) = h2 / x
Step 4: Solve the equation to find the value of h2. Rearrange the equation to isolate h2:
h2 = x * tan(63)
Step 5: Substitute the values into the equation. We know that x = 14.8m and tan(63) = 1.8387.
h2 = 14.8 * 1.8387
Step 6: Calculate the value of h2:
h2 ≈ 27.19m
Therefore, the height of the tower is approximately 27.19 meters.