## Two men on either side of a temple of 30 meters high observe its top at the angles of elevation 𝛼 and 𝛽 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 = 𝛼 =

##
(a) sin
^{
-1
}
(2/√3)

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

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

(d) sin
^{
-1
}
(√3/2)

##
**
Question 2
**

## ∠CAB = 𝛼 =

##
(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 , 𝜋)

(b) [−1, 1], (0 , 𝜋)

(c) [−1, 1], [0 , 𝜋]

(d) (−1, 1), [-π/2, π/2]