A construction

A construction worker is trying to find the height of a skyrise building while standing some distance away from the base of the building with an angle of elevation of 65 degrees. The worker moves 50 feet closer and measures the angle of elevation to be 75 degrees. Find the height of the building.

Correct answer:

h =  252.0689 ft

Step-by-step explanation:

α=65  β=75  d=50 ft  tanβ=h:x tanα=h:t=h:(x+d)  h=x tanβ h=(x+d) tanα  x tanβ=(x+d) tanα x tanβ=x tanα+d tanα x tanβx tanα=d tanα  x=d tanβtanαtanα=d tan75° tan65° tan65° =50 tan75° tan65° tan65° =50 3.7320512.1445072.144507=67.54166 ft  h=x tanβ=x tan75° =67.5417 tan75° =67.5417 3.732051=252.069=252.0689 ft

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you want to convert length units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: