Chapter 13, Trigonometric Ratios and Functions - 13.1 Use Trigonometry with Right Triangles - 13.1 Exercises - Problem Solving - Page 857: 32

$ H \approx 100.26 ft$ and $ L \approx 170.58 ft$

Here, we have $\tan 36^{\circ}=\dfrac{Hypotensue(H)}{138}$ This gives: $ H \approx 100.26 ft$ and $\cos 36^{\circ}=\dfrac{138}{Length(L)}$ This gives: $ L \approx 170.58 ft$ Hence, $ H \approx 100.26 ft$ and $ L \approx 170.58 ft$