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Mathematics 15 Online
OpenStudy (kittiwitti1):

http://prntscr.com/9avraz I feel like I should apply Law of Sines but I don't know how to.

OpenStudy (danjs):

in this prob, s = r * angleA so angle A is s/r

OpenStudy (danjs):

sorry angle C, the center of the circle

OpenStudy (danjs):

c = s/r

OpenStudy (kittiwitti1):

o-o?

OpenStudy (danjs):

The arc length on a circle is the same as the circle radius times the central angle that that arc spans in the circle s = r * Angle C

OpenStudy (kittiwitti1):

sorry, brb working on other problems. go ahead and leave if you want -

OpenStudy (danjs):

well here, you said law of sines, so you had a hutch you have now angle A and angle C, angle D is 180 - A - C

OpenStudy (danjs):

the law of sine ratios can be used here on triangle ADC to figure the value for x the ratio of the sin of the angle to the opposite side length is the same for all 3 angles

OpenStudy (danjs):

\[\frac{ \sin(D) }{ x+r } = \frac{ \sin(A) }{ r }\] the angle A is given, Angle D is found from the arc length defenition, and r is given, just x left to solve for

OpenStudy (kittiwitti1):

I need help on this one: The figure below is a diagram that shows how Colleen estimates the height of a tree that is on the other side of a stream. She stands at point A facing the tree and finds the angle of elevation from A to the top of the tree to be 58°. Then she turns 110° and walks 25 feet to point B, where she measures the angle between her path AB and the line BC extending from her to the base of the tree. She finds that angle to be 44°. Use this information to find the height of the tree. (Round your answer to the nearest whole number.) http://prntscr.com/9avugb

OpenStudy (danjs):

ok

OpenStudy (danjs):

sometimes people use angle viewing things to estimate tree heights, but they know the distance from the bottom of the tree to them i think

OpenStudy (kittiwitti1):

uh... ok

OpenStudy (danjs):

either way, adding all the given info values in,

OpenStudy (danjs):

the ground triangle has A=110 , B = 44, and BC = 25ft the goal here is to get the length of AC, so you can apply the sin = height / AC

OpenStudy (kittiwitti1):

yes

OpenStudy (danjs):

A=110 B=44 AB = 25 ft ------- you can use the law of sins again, realize angle D is 180 - A - B = 26

OpenStudy (danjs):

Angle C = 180 - A - B = 26 sorry

OpenStudy (danjs):

use those ratios for the law to get the side AC length needed C / 25 = B / AC

OpenStudy (danjs):

the other triangle is right angled, you can use sin(A) = h/AC

OpenStudy (danjs):

lol tangent at A = h / AC i need to sleep

OpenStudy (kittiwitti1):

sorry solving a cos law problem

OpenStudy (kittiwitti1):

Okay

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