Harvard University Laws of Sines and Cosines Questions


3 attachmentsSlide 1 of 3attachment_1attachment_1attachment_2attachment_2attachment_3attachment_3

Unformatted Attachment Preview

MTH 112 FWH 7 – Solving Triangles with Laws of Sines and Cosines
1. Solve each triangle for the unknown sides and angles using the Laws of Sines and Cosines as
appropriate. If there is more than one possible solution, give both. If it is not possible, so
state. Let side a be across from angle α, side b be across from angle β and side c be across
from angle γ.
a. α = 75◦ , a = 25, b = 40
d. γ = 110◦ , b = 5, c = 15
b. β = 62◦ , a = 11, b = 13
e. α = 40◦ , a = 180, b = 232.6
c. α = 145◦ , b = 25, c = 42
f. β = 61◦ , a = 12.1, c = 16.3
2. A 113 foot tower is located on a hill that is inclined 24◦ to the horizontal. A guy-wire is to be
attached to the top of the tower and anchored at a point 55 feet uphill from the base of the
tower. Find the length of wire needed.
3. To estimate the height of a building, two students find the angle of elevation from a point (at
ground level) down the street from the building to the top of the building is 12◦ . From a
point that is 250 feet closer to the building, the angle of elevation (at ground level) to the top
of the building is 20◦ . If we assume that the street is level, use this information to estimate
the height of the building.
4. Two planes leave the same airport at the same time. One flies at 35◦ west of north at 450
miles per hour. The second flies at 30◦ south of west at 380 miles per hour. How far apart
are the planes after 2 hours?
5. The four sequential sides of a quadrilateral have lengths 5.7 cm, 7.2 cm, 9.4 cm, and 12.8 cm.
The angle between the two smallest sides is 106◦ . What is the area of this quadrilateral?

Purchase answer to see full

Solving Triangles

Laws of Sines and Cosines

Laws of Sines

User generated content is uploaded by users for the purposes of learning and should be used following Studypool’s honor code & terms of service.

Reviews, comments, and love from our customers and community:

This page is having a slideshow that uses Javascript. Your browser either doesn't support Javascript or you have it turned off. To see this page as it is meant to appear please use a Javascript enabled browser.

Peter M.
Peter M.
So far so good! It's safe and legit. My paper was finished on time...very excited!
Sean O.N.
Sean O.N.
Experience was easy, prompt and timely. Awesome first experience with a site like this. Worked out well.Thank you.
Angela M.J.
Angela M.J.
Good easy. I like the bidding because you can choose the writer and read reviews from other students
Lee Y.
Lee Y.
My writer had to change some ideas that she misunderstood. She was really nice and kind.
Kelvin J.
Kelvin J.
I have used other writing websites and this by far as been way better thus far! =)
Antony B.
Antony B.
I received an, "A". Definitely will reach out to her again and I highly recommend her. Thank you very much.
Khadija P.
Khadija P.
I have been searching for a custom book report help services for a while, and finally, I found the best of the best.
Regina Smith
Regina Smith
So amazed at how quickly they did my work!! very happy♥.