Post a New Question

Math (trigonometry)

posted by .

MONDAY 
December 3, 2012 SCHOOL SUBJECTS
Art
Business
Computers
English
Foreign Languages
Health
Home Economics
Math
Music
Physical Education
Science
Social Studies
GRADE LEVELS
Preschool
Kindergarten
Elementary School
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th Grade
7th Grade
8th Grade
High School
9th Grade
10th Grade
11th Grade
12th Grade
College
Adult Education
Post a New QuestionCurrent QuestionsChat With Live Tutors
Homework Help: Math (trigonometry)
Posted by Sammy on Monday, December 3, 2012 at 4:25pm.


 From a boat on the water, the angle of elevation of the top of a cliff is 31°. From a point 300 m closer, the angle of elevation is 33°. Find the height of the cliff. 

the answer should be 2411 m. 

I had tan31° = h/x+(x-300) 
tan33° = h/x-300 -> (x-300)tan33° = h. 

I subbed the first one into the second: 
tan31° = (x-300)tan33°/x+x-300 

I'm not sure how to go from there or if what I have so far is even right.

  • Math (trigonometry) -

    tan 33 = h/x

    tan 31 = h/(x+300)
    so
    h = x tan 33 = .649 x
    then
    tan 31 = .649 x/(x+300)

    (x+300)(.601) = .649 x
    x + 300 = 1.08 x

    .08 x = 300
    x = 3750
    h = .649 x = 2433

    Carry more significant figures than I did. When you do the 1.08 - 1 you lose a lot of accuracy

  • Math (trigonometry) -

    yes i want to do the things very much

  • Math (trigonometry) -

    NO

Answer This Question

First Name
School Subject
Your Answer

Related Questions

More Related Questions

Post a New Question