0 Using the measurements given in the figur
(a) find the values of:
(i) sinº (ii) tan 0.
(b) write an expression for AD in
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Answer:
Step-by-step explanation:
Draw a perpendicular from D on AB to meet at AB at E. Hence, DEBC is a rectangle.
Thus, DE=BC=12
In △DBC,
BD
2
=CD
2
+BC
2
13
2
=12
2
+CD
2
CD
2
=25
CD=5
Now, BE=CD=5
Thus, AE=AB−BE
AE=14−5
AE=9
Now, In △DBC
sinΦ=
H
P
=
BD
DC
=
13
5
Now, In △AED
tanΘ=
AE
DE
=
12
9
=
4
3
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