A diagram of a robotic arm. The robotic arm has two line segments connected at a point that can pivit. The first segment

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A diagram of a robotic arm. The robotic arm has two line segments connected at a point that can pivit. The first segment is vertical with length L cm. The second segment has length d cm. The second segment goes up and right from the end of the first segment at an angle of 𝜃 above the horizontal.
(a) Assume that h = L = 50 cm when t = 0. Construct a table that lists the angle 𝜃 and the height h of the robotic hand every second while 0 ≤ 𝜃 ≤ 𝜋/2. (Round your heights to two decimal places.)t (in sec)𝜃 (in rad)height h (in cm)0 0 1 π12​ 2 π6​ 3 π4​ 4 π3​ 5 5π12​ 6 π2​ (b) Determine whether or not a constant increase in the angle 𝜃 produces a constant increase in the height of the hand.Yes, there is a constant increase.No, there is not a constant increase. (c) Find the total distance that the hand moves. (Round your answer to two decimal places.) cm
t (in sec)𝜃 (in rad)height h (in cm)0 0 1 π12​ 2 π6​ 3 π4​ 4 π3​ 5 5π12​ 6 π2​
0
0
π12​
π12​
π6​
π6​
π4​
π4​
π3​
π3​
5π12​
5π12​
π2​
π2​
Yes, there is a constant increase.No, there is not a constant increase.
Yes, there is a constant increase.No, there is not a constant increase.