Solving for angles and sides

11 and 13 I am having huge trouble with.

11 is a triangle inside a triangle. Smaller one being 50° larger being 35° and the base of 35° is 10m. 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?

Answers
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joey
28 October 2018
Q13. distance is 107 m                  angle is,  tan(i)=2/3
joey
28 October 2018
Joey has done an excellent diagram.. and has dome most of the thinking here I'd like to suggest a couple of changes to his answersA minor thing - I'll confess here I didn't work through with surds,  just used my calculator to find SQRT(100^2 + 40^2) = which for me is 108m is we are rounding to the nearest metre.For the angle, we have a misreading of the diagram - Yes its Tan^-1[Dist 3 to 4 / Distance 1 to 3]   - but the latter has been misread from the diagram as 60m when it is 100m - looks like an easy mistake to So Tan-1(2/5) is the answer........  21.8 deg
Christopher R.
07 November 2018
I'd like to help with the other question too but I'll confess I don't fully understand it. Does the text refer to a diagram we can't see?
Christopher R.
07 November 2018
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