My Math Forum  

Go Back   My Math Forum > High School Math Forum > Trigonometry

Trigonometry Trigonometry Math Forum

LinkBack Thread Tools Display Modes
October 26th, 2018, 12:04 PM   #1
Joined: Oct 2018
From: Canada

Posts: 1
Thanks: 0

Question Solving for angles and sides


11 and 13 I am having huge trouble with. 11 is: Joanne has to replace the two supporting guy wires for a hydro pole. She measures the distance between the base of the wires to be 10m, and their angle of inclination to be 50° and 35°. Determine the total length of the guy wire that needs to be replaced. Determine the height of the pole.

Question 13 is: From his nest, Mr. Robin flies east for 80m then south for 60m and then straight up into the sky for 30m. At this point how far is Mr. Robin from his nest? And at what angle of elevation viewed from their nest does Mrs. Robin see Mr. Robin?

Last edited by skipjack; October 27th, 2018 at 08:34 AM.
Jazzyh21 is offline  
October 26th, 2018, 04:28 PM   #2
Math Team
Joined: Oct 2011
From: Ottawa Ontario, Canada

Posts: 14,597
Thanks: 1038

11: you have a triangle with one side = 10 and the angles = 15,35,130

Go here:
Denis is offline  
October 27th, 2018, 08:55 AM   #3
Global Moderator
Joined: Dec 2006

Posts: 20,819
Thanks: 2158

If the pole height is h, h cot(35$^\circ$) - h cot(50$^\circ$) = 10 m,
so h = (10 m)/(cot(35$^\circ$) - cot(50$^\circ$)) = 16.97653438 m approximately.

Total length of guy wire = h(csc(35$^\circ$) + csc(50$^\circ$)) = 51.7589762 m approximately.

You should round your answers appropriately.
skipjack is offline  

  My Math Forum > High School Math Forum > Trigonometry

angles, sides, solving

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
are angles in the same ratio as the sides of a triangle randomgamernerd Geometry 4 November 15th, 2015 06:17 AM
Are angles in similar triangle in the same proportion as the sides? randomgamernerd Geometry 7 November 14th, 2015 07:23 PM
find the sides and angles of triangle adilgrt007 Algebra 9 August 22nd, 2013 10:25 AM
find the angles and sides of the triangle mathmaniac Algebra 16 February 14th, 2013 06:27 PM
Solving for sides and angles of a triangle. Andrew Ryan Algebra 4 July 16th, 2011 01:35 AM

Copyright © 2019 My Math Forum. All rights reserved.