## Two men on either side of a temple of 30 meters high observe its top at the angles of elevation πΌ and π½ respectively. (as shown in the figure above). The distance between the two men is 40β3 meters and the distance between the first person A and the temple is 30 β3 meters. Based on the above information answer the following:

##
**
Question 1
**

## β CAB = πΌ =

##
(a)Β sin
^{
-1
}
Β (2/β3)

(b)Β sin
^{
-1
}
Β (1/2)

(c)Β sin
^{
-1
}
Β (2)

(d)Β sin
^{
-1Β
}
(β3/2)

Β

##
**
Question 2
**

## β CAB = πΌ =

##
(a)Β cos
^{
-1
}
Β (1/5)

(b)Β cos
^{
-1
}
Β (2/5)

(c)Β cos
^{
-1
}
Β (β3/2)

(d)Β cos
^{
-1
}
Β (4/5)

##
**
Question 3
**

## β BCA = Ξ² =

##
(a)Β tan
^{
(-1)
}
Β (1/2)

(b)Β tan
^{
(-1)Β
}
(2)

(c)Β tan
^{
(-1)
}
Β (1/β3)

(d)Β tan
^{
(-1)Β
}
(β3)

##
**
Question 4
**

## β ABC =

##
(a) Ο/4

(b) Ο/6

(c) Ο/2

(d) Ο/3

##
**
Question 5
**

##
Domain and Range of cos
^{
β1
}
x =

##
(a) (β1, 1), (0 , π)

(b) [β1, 1], (0 , π)

(c) [β1, 1], [0 , π]

(d) (β1, 1), [-Ο/2, Ο/2]