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I used to be able to do these myself, but I embarassingly forgot how to.

 

a. Calculate ∠B

b. Calculate the length of EF in the triangle DEF

c. Calculate ∠GHJ in the square GHIJ

d. How long are the diagonals in square GHIJ

e. Calculate ∠HSI

 Apr 18, 2019
edited by HeyxJacq  Apr 18, 2019
 #1
avatar+18360 
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Remember SOHCAHTOA for right triangles?

a) Cos (B) = 8/17       now do th einverse cos to find B

b) Sin 20 = ?/11          Can you do it now?

c)Tan GHJ = 10/3

d) Pythagorean theorem   DIagonal = sqrt (10^2 + 3^2)

e) draw line from S to bisect side 10    then  1/2  Diagonal is hypotenuse  and one leg is 5     then calculate the top angle....which is 1/2 of angle HSI

 

See what you find!   cheeky

 Apr 18, 2019
 #2
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Hi thanks for the reply! But I'm super confused at your answer for b. Shouldn't it be 11*tan(20) instead of sinus? 

Guest Apr 21, 2019
 #3
avatar+100571 
+1

EP's answer for (b) is correct.....we know the hypotenuse.....and an angle....and we are looking for the side opposite the angle

 

The sine  relates the   opp side  / hypotenuse

 

 

cool cool cool

CPhill  Apr 21, 2019

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