Chapter 2 - Review Exercises - Page 95: 49

137 ft

Work Step by Step

The vertical height of the tree is a leg of a right triangle, (label it with $a)$. $a$ is opposite to the measured angle $A=70^{o}$ The other leg, ($b$=50 ft) is adjacent to A. (SOHCAHTOA) We use $\displaystyle \tan A=\frac{a}{b}$ and solve for $a$: $a=b\cdot\tan A$ $a=50\cdot\tan 70^{o}\approx$137.373870973, which, to the nearest foot is 137 ft

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