A water tower is located 325 ft from a building. From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39 degrees and that the angle of depression to the bottom of the tower is 25 degrees. How tall is the tower? How high is the window?

Respuesta :

Answer:the height of the water tower is approximately 263.825 feet, and the height of the window above the ground is approximately 238.167 feet.

Step-by-step explanation:

To solve this problem, we can use trigonometric ratios in a right triangle formed by the observer's line of sight to the top and bottom of the water tower.

So, the height of the water tower is approximately 263.825 feet, and the height of the window above the ground is approximately 238.167 feet.

Answer:

504 feet height of water tower.

window 152 ft

Step-by-step explanation:

first we know that

Tan of theta = opp/adj

so we can get H2= adj*tan39

                            = 395ft * tan(39deg).  = 319.9ft

H1= 395*tan(25).  = 184.2ft

h1+h2=504.1 ft total

then we look at alternative angle deg properties to find looking up at

window 25 degrees. window height = 325*tan(25) = 152 ft.