Answer:606.36 m
Step-by-step explanation:
step 1 : find the angles of bigger triangle
The angles given are 25 degrees and 90 degrees (small box on the bottom right indicates the 90 degree angle )
step 2: Add the angles and minus it by 180 degrees ( because the total angle of every triangle is 180 degrees )
you will get the answer of 65 degrees
step 3: use sine formula ie :
[tex]\frac{a}{sinA} = \frac{b}{sinB} + \frac{c}{sinC}[/tex]
a,b,c- sides of the triangle
A,B,C- angles of the triangle
label 25 degrees as B
and 390m as b( b and Bare corresponding ie diagonally opposite )
now angle labelled A you have already found which is 65 Degrees
its corresponds with the base of the triangle .( label the base to be b)
Note :disregard [tex]\frac{c}{sinC}[/tex] you will only need the first two equations from your general equation
now place the values into your equation it will look like this
[tex]\frac{x}{sin 65} =\frac{390}{sin 25}[/tex]
now perform opposite operation
you will get the answer 836.36(round off to the second decimal)
BUT WAIT !!
that's not all you will have to subtract 230m from your answer which is 836.36m and you will get the the distance from T to H .
final answer 606.36 m
hope this help
