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(i) the greatest angle of elevation of the top of the lighthouse from a point on the line AC, leaving your answer in 2 decimal places.

(i) the greatest angle of elevation of the top of the lighthouse from a point on the line AC, leaving your answer in 2 decimal places.

Trigonometry (11th Edition)
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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how to do b)ii)  ?

The diagram below shows 3 ships departing Pont A towards Points B, C and D. The first ship travels at a bearing of 036° from A towards B. The second ship travels 28 km from A towards Cand the third ship travels 46 km at a bearing of 197° from A towards D. a) 45"= 46*+28* - 2(4)(28) cos PAC 125 pAc= 10-14299 b) LBACE 197-70-14299-36 - 90.85701, 46 km 28 D 70.1429 28 km BC 41.84066 45 km N 41-1 c) T ? 0-15 46 (a) A It is given that the distance between D and C is 45 km and angle ABC = 42. Find ?=0-12043 (1) angle DAC, (i) the distance between B and C. (b) A lighthouse is at Point D. The angle of depression of A from the top of the lighthouse is 0.15°. Calculate (1) the height of the lighthouse, (il) the greatest angle of elevation of the top of the lighthouse from a point on the line AC, leaving your answer in 2 decimal places.
Transcribed Image Text:The diagram below shows 3 ships departing Pont A towards Points B, C and D. The first ship travels at a bearing of 036° from A towards B. The second ship travels 28 km from A towards Cand the third ship travels 46 km at a bearing of 197° from A towards D. a) 45"= 46*+28* - 2(4)(28) cos PAC 125 pAc= 10-14299 b) LBACE 197-70-14299-36 - 90.85701, 46 km 28 D 70.1429 28 km BC 41.84066 45 km N 41-1 c) T ? 0-15 46 (a) A It is given that the distance between D and C is 45 km and angle ABC = 42. Find ?=0-12043 (1) angle DAC, (i) the distance between B and C. (b) A lighthouse is at Point D. The angle of depression of A from the top of the lighthouse is 0.15°. Calculate (1) the height of the lighthouse, (il) the greatest angle of elevation of the top of the lighthouse from a point on the line AC, leaving your answer in 2 decimal places.
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