## Two men on either side of a temple of 30 meters high observe its top at the angles of elevation ๐ผ and ๐ฝ respectively. (as shown in the figure above). The distance between the two men is 40√3 meters and the distance between the first person A and the temple is 30 √3 meters. Based on the above information answer the following:

##
**
Question 1
**

## ∠CAB = ๐ผ =

##
(a) sin
^{
-1
}
(2/√3)

(b) sin
^{
-1
}
(1/2)

(c) sin
^{
-1
}
(2)

(d) sin
^{
-1
}
(√3/2)

##
**
Question 2
**

## ∠CAB = ๐ผ =

##
(a) cos
^{
-1
}
(1/5)

(b) cos
^{
-1
}
(2/5)

(c) cos
^{
-1
}
(√3/2)

(d) cos
^{
-1
}
(4/5)

##
**
Question 3
**

## ∠BCA = β =

##
(a) tan
^{
(-1)
}
(1/2)

(b) tan
^{
(-1)
}
(2)

(c) tan
^{
(-1)
}
(1/√3)

(d) tan
^{
(-1)
}
(√3)

##
**
Question 4
**

## ∠ABC =

##
(a) π/4

(b) π/6

(c) π/2

(d) π/3

##
**
Question 5
**

##
Domain and Range of cos
^{
−1
}
x =

##
(a) (−1, 1), (0 , ๐)

(b) [−1, 1], (0 , ๐)

(c) [−1, 1], [0 , ๐]

(d) (−1, 1), [-π/2, π/2]