Here's the solution to question 5: a) What is the angle of elevation? Write it. The angle of elevation is the angle formed between the horizontal line of sight and the line of sight when an observer looks upwards at an object. It is the angle above the horizontal. The final answer is $\boxed{\text{The angle of elevation is the angle formed between the horizontal line of sight and the line of sight when an observer looks upwards at an object.}}$. b) Make a diagram according to the given context. Let: $H$ be the height of the house. $D$ be the distance of the man from the foot of the house. $\theta$ be the angle of elevation. Given: $D = 10 \text{ m}$ $\theta = 60^\circ$ The diagram will be a right-angled triangle where: The vertical side represents the height of the house. The horizontal side represents the distance from the man to the house. The hypotenuse represents the line of sight from the man to the roof. ` Roof (A) | | H (height of house) | | | | |_________________ B 10 m C (Man's position) /| / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | / | Man's Eye Level (C) ------ 10m ------ Foot of House (B) ` Diagram Description: Draw a vertical line segment AB representing the house, with A being the roof and B being the foot of the house. Draw a horizontal line segment BC representing the ground, with C being the man's position. The length of BC is 10 m. Draw a line segment AC representing the man's line of sight to the roof. The angle at C, $\angle ACB$, is the angle of elevation, which is $60^\circ$. The angle at B, $\angle ABC$, is $90^\circ$ (assuming the house is perpendicular to the ground). Label the height of the house AB as 'h'. ` A (Roof) | | h | | B-------C (Man) 10 m ` The angle at C is $60^\circ$. The final answer is $\boxed{\text{A right-angled triangle with the vertical side as the house height, the horizontal side as 10 m, and the angle of elevation at the observer's position as 60 degrees.}}$.