Student resources - Solving problems with trigonometry page 3

Student resources icon

a	The ratio \(\dfrac{b}{10}\) =
	sin 46°	cos 46°	tan 46°

b	The value of b correct to 4 decimal places is?
	7.0711	10.3553	7.1934

The value of a can be found by solving the equation.

a	\(a = 6 \ \text{cos}\ 40°\)	\(a = \dfrac{\text{cos}\ 40°}{6}\)	\(a = \dfrac{6}{\text{cos}\ 40°}\)

The diagram is of a ladder 9 m long resting against a wall, making an angle of 55° with the ground.

a	The height h that the ladder reaches up the wall, correct to the nearest centimetre, is:
	5.16 m	7.37 m	6.30 m

b	The distance l from the foot of the ladder to the wall, correct to the nearest centimeter, is:
	5.16 m	7.37 m	6.30 m