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Byju's Answer
Standard X
Mathematics
Calculating Heights and Distances
Given 15 A ...
Question
Given
15
cot
A
=
8
, find
sin
A
and
sec
A
.
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Solution
Let
A
B
C
be a right angled
△
right angled at
B
.
cot
A
=
8
15
Let
A
B
=
8
x
and
B
C
will be
15
x
.
A
C
2
=
A
B
2
+
B
C
2
⇒
A
C
2
=
64
x
2
+
225
x
2
⇒
A
C
=
√
289
x
2
=
17
x
⇒
sin
A
=
B
C
A
C
=
15
x
17
x
=
15
17
⇒
sec
A
=
A
C
A
B
=
17
x
8
x
=
17
8
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Q.
Given 15 cot A = 8. Find sin A and sec A