Two observers, 7220 feet apart, observe a balloonist flying overhead between them. Their measures of the angles of elevation at 3:30pm are 35.6 and 58.2 respectively. What is the height of the balloonist above the ground?

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.