SOLUTION: Standing 13.3 m away from the base of the tower. Issa measures the angle of elevation to the top of the tower to be 61 degrees. On the top of the tower, Gerta measures the angle of

Algebra ->  Trigonometry-basics -> SOLUTION: Standing 13.3 m away from the base of the tower. Issa measures the angle of elevation to the top of the tower to be 61 degrees. On the top of the tower, Gerta measures the angle of      Log On


   



Question 1035351: Standing 13.3 m away from the base of the tower. Issa measures the angle of elevation to the top of the tower to be 61 degrees. On the top of the tower, Gerta measures the angle of depression to Stephen, who is standing behind Issa to be 56 degrees. How far apart are Issa and Stephen?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
please the following diagram and worksheet.

step 1 solves for b in terms of tan(61).
step 2 solves for b in terms of tan(56).
step 3 sets the expressions that are both equal to b in steps 1 and 2, equal to each other.
steps 4,5, and 6 take the equation from step 3 and solve for a.
step 7 shows you the value of a.
step 8 tells you that the value of a represents the distance between issa and stephen, which is the solution to the problem.

there is a missing close parentheses in step 5.
step 5 should read: 13.3(tan(61) - tan(56)) = a * tan(56).
the 13.3 is multiplying the subtraction of tan(56) from tan(61).
that error is corrected in step 6.

any questions, let me know.

$$$

$$$