1. Bearings:

A boat leaves port A and sails 30 km on a bearing of 045°. It then changes course and sails 40 km on a bearing of 120°.

a) Calculate the coordinates of the boat's final position relative to port A.
b) Find the bearing from port A to the boat's final position.

2. Quadratic Equation:

The height (h) in meters of an object thrown upwards is given by the equation h(t) = -5t² + 20t + 10, where t is the time in seconds.

a) Find the time when the object reaches its maximum height.
b) Calculate the maximum height of the object.

3. Indices:

Simplify the expression (a³ · a^-5) / a^-2.

4. Logarithm:

If log₂(x) + log₂(3) = 5, solve for x.