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1. Draw a 30-60-90 triangle. Label all angle measures and side-(Answered)

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please see attached file i need all 3 geometry questions answered and work shown.


1.

 


 

Draw a 30-60-90 triangle. Label all angle measures and side relationships. Using the side

 

relationships from the figure, show that the following trigonometric identities hold true for the given

 

angles:

 


 

a) tan 60

 


 

sin 60?

 

cos 60?

 


 

b) sin2 30? cos 2 30? 1

 


 

2.

 


 

A surveyor is ?shooting a line? to a point on a tree 55 m from his current position. After rotating his

 

surveying instrument 25? to the left, he ?shoots? another line to a point on a fence post 25 m away.

 


 

a.)

 


 

Determine the distance between the point on the tree to the point on the fence post.

 

(Show the appropriate formula, substitutions, and work. Give the distance to the nearest

 

hundredth of a meter.)

 


 

b.)

 


 

Use the Law of Sines to find the measure of T. (Show the appropriate formula,

 

substitutions, and work. Give the measure of T to the nearest degree.)

 


 

c.)

 


 

3.

 


 

Find the mF.

 


 

One method you can use to determine whether a triangle is a right triangle, given three side

 

lengths, is to apply the Converse of the Pythagorean Theorem. Alternately, you can use trigonometric

 

ratios. Show that the triangle in the diagram is a right triangle by using trigonometric ratios. (Be sure

 

to show all work and/or reasoning.)

 


 

 

Paper#9255859 | Written in 27-Jul-2016

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