A Truffula tree is planted on the side of a hill with an incline. After many years, the tree grows straight up (perpendicular to level ground.) If the angle of elevation of a point 70 feet up the hill to the top of the tree is 58° and the angle of depression from that same point to the bottom of the tree is 26°, find the height of the Truffula tree to nearest 0.1 feet. You may consult the picture below, however it is not drawn to scale. 58° 26° 70 feet

A Truffula tree is planted on the side of a hill with an incline. After many years, the tree grows straight up (perpendicular to level ground.) If the angle of elevation of a point 70 feet up the hill to the top of the tree is 58° and the angle of depression from that same point to the bottom of the tree is 26°, find the height of the Truffula tree to nearest 0.1 feet. You may consult the picture below, however it is not drawn to scale. 58° 26° 70 feet

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

A Truffula tree is planted on the side of a hill with an incline. After many
years, the tree grows straight up (perpendicular to level ground.) If the angle of elevation
of a point 70 feet up the hill to the top of the tree is 58° and the angle of depression from
that same point to the bottom of the tree is 26°, find the height of the Truffula tree to
nearest 0.1 feet. You may consult the picture below, however it is not drawn to scale.
58
26°
70 feet

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