Trigonometric ratios in right-angled trianglesIB MYP Maths Standard: Mind map

Exam questions on Trigonometric ratios in right-angled triangles

1. A ladder $5$ m long rests against a vertical wall on level ground. The foot of the ladder is $1.5$ m from the wall.
   The foot of the ladder is moved so that it is $2$ m from the wall. Find the new angle between the ladder and the ground.2 marks
2. A hiker stands at the top of a vertical cliff that is $60$ m above the sea. She looks at a boat on the sea and measures the angle of depression of the boat as $25^\circ$.
   The boat sails $40$ m straight towards the cliff. Find the new angle of depression of the boat, to $1$ decimal place.2 marks
3. In triangle $ABC$, angle $B=90^\circ$, $AB=7.2$ cm and $AC=11.5$ cm.
   Find the size of angle $BAC$, to $1$ decimal place.3 marks