(Solved): 1. (8 pts) A 50 foot tree casts a shadow of length \( x \) feet. When standing at the tip of the sh ...

1. (8 pts) A 50 foot tree casts a shadow of length \( x \) feet. When standing at the tip of the shadow, Frank notes that the line of the sight distance to the top of the tree is 95 feet. a. \( (3 \mathrm{pts}) \) Draw a dingram depicting this scemario. Include the angle of elevation \( \theta \) from the tip of the shadow to the top of the tree. b. (2 pts) Find the length of the shadow \( x \). b. ( \( 2 p t s \) ) Find the length of the shadow \( x \). c. (3 pts) Define sine, cosine and tangent using the information from parts (a.) and (b.). 5. \( (8 \mathrm{pts}) \) Given the angle \( \theta=287^{\circ} \), answer the following: a. \( (2 \mathrm{pts}) \) Convert the angle to radians. b. (2 pts) Determine a negative coterminal angle of \( \theta \). c. (2 pts) Determine the reference angle \( \theta^{\prime} \).