When solving the problem, use a piece of paper and write as clear as possible the solution, question by question. You will need to submit a PDF file (mywork.pdf) with a picture of your work. NO EVIDENCE - NO POINTS 1 The beam angle of the SPOTLIGHT #1 is Alpha 1 degrees The beam angle of the SPOTLIGHT #2 is Alpha 2 degrees I submitted the evidence of the question #1 2 The luminious Flux of the lamp #1 is Luminious Flux Lumen 1 submitted the evidence of the question #2 3 The Power of the lamp #1 is Power #1 Watts submitted the evidence of the question #3 4 The luminious Flux of the lamp #12 is Luminious Flux Lumen 2 submitted the evidence of the question4 5 The Power of the lamp #2 is Power #2 Watts I submitted the evidence of the question #5Question #3 Instructions: In tis question, you will type in the requested places your name and you Oasis ID number (e.g. 123456). The problem will produce YOUR UNIQUE set of valuest. With the assigned values, you will answer the questions and place the answers (with two decimals X.XX) in the requested places. YOU WILL PLACE IN THE ANSWER BLOCK ONLY THE NUMBER. The unit is on the right side of the block. Then you will submit a picture of the evidence of your work. NO EVIDENCE -NO POINTS Type your name Type you ID number (e.g. 123456) Given the following scene on the stage presented below. Both spotlights SPOTLIGHTAl and SPOTLIGHT#2 are place at DISTANCE. meters from the stage. You want to produce a circle of light of 1meter diameter with the SPOTLIGHTA1 and a circle of light of 2 meters diameter with the SPOTLIGHT#2 1) Calculate the BEAM ANGLE of the SPOTLIGHT#1, Alpha 1 and SPOTLIGHT#2, Alpha2 2) You want to have an illuminance of ILLUMINANCE #1 lux on Mrs. Pott (under the SPOTLIGHT#1). What is the Luminous Flux 1 (lumen] the lamp need to releases assuming homogeneous distribution of the light in the illuminated circle? 3) If the lamp used is a lamp with an efficacy of EFFICACY #1 Lumen/Watt, what will be the power of the lamp it1? 4) You want to have an illuminance of ILLUMINANCE #2 lux on the Beauty and the Beast (under the SPOTLIGHT#2). What is the Luminous Flux (lumen] the lamp need to releases assuming homogeneous distribution of the light in the illuminated circle? 5) If the lamp used is a lamp with an efficacy of EFFICACY #2 [Lumen/Watt], what will be the power of the lamp? Spotlight #1 1 meter diameter Spotlight #2 2 meters diameter The values of your problem References from the problem Assigned values Distance 30 m. ILLUMINANCE#1 200 Lux EFFICACY #1 10 Lumen/watt ILLUMINANCE#2 300 Lux EFFICACY #2 50 Lumen/watt Place your answers in the respective places - Use at least two decimals when applicable