Q1. Choose the correct option.
Q2. Write down short answers of following questions.
Q3. Write detailed answers of the following questions. (Answer any 2) (2×5=10)
1. Lighthouse and Ships Problem
A man on the top of a 100 m high light-house is in line with two ships on the same side of it, whose angles of depression from the man are 17° and 19° respectively. Find the distance between the ships.
2. Carnival Wheel Problem
A carnival ride consists of a vertical wheel with a diameter of 40 feet. The centre of the wheel is 28 feet above the ground. The wheel rotates at a constant speed and takes 120 seconds to make one complete revolution. Model an equation that describes the height h(t) of a rider on the wheel as a function of time t. How high is the rider from the ground after 90 seconds? At what times will the rider be 36 feet above the ground?
3. Even and Odd Functions
Prove that the sum of an even function and an odd function is neither even nor odd, unless one of the function is the zero function.