Trig Help Please?

Question

1. find (f of g)(x) for the pair of functions: f(x)=x-3; g(x)=√(x+4) , x ≥ -4

a)√(x-3) +4 b)√(x+1) c) √(x+4) d) √(x+4) -3

2. A large totem pole near Kalama, Washington, is 172 feet tall. On a particular day at noon it casts a 165 foot shadow. What is the sun's angle of elevation at that time? Round to the nearest tenth.
a) 46.2° b) 73.6° c) 43.8° d) none of these

3. A statue of a town's founder stands in the town park. Nicholas is 20 meters from the statue. The angle of elevation for Nicholas to see the top of the statue is 30°, and Nicholas' eyes are 1.3 meters above the ground. How tall is the statue? Round to the nearest tenth of a meter.

a) 19.5 m b) 11.5 m c) 20.8 m d) none of these

Answer 1

1.) f(g(x)) = f(√(x + 4) = √(x + 4) - 3 [ans. d)]
2.) arc tan(172/165) = 46.1899 [ans. a)]
3.) S = 1.3 + 20tan30 = 12.847 [ans. d)]