A bird has built a nest on top of a pillar. A cat is sitting 4m away from the pillar. For the cat the nest is located at an angle of 22∘ from the horizontal. Determine the height of the pillar correct to 2 decimal places. Give your answer in metres (m).

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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A bird has built a nest on top of a pillar. A cat is sitting 4m away from the pillar. For the cat the nest is located at an angle of 22∘ from the horizontal.
Determine the height of the pillar correct to 2 decimal places.
Give your answer in metres (m).

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