Find the length of EB.

Write down the angle of elevation of B from E.

Find the vertical height of B above the ground.

Units are required in parts (a) and (c).

$\frac{{{\text{EB}}}}{{\sin 53{\rm{^\circ }}}} = \frac{{1.2}}{{\sin 7{\rm{^\circ }}}}$     (M1)(A1)

Note:     Award (M1) for substitution into sine formula, (A1) for correct substitution.

$({\text{EB}} = ){\text{ }}7.86{\text{ m}}$$\,\,\,$OR$\,\,\,$$786{\text{ cm }}(7.86385 \ldots {\text{ m}}$$\,\,\,$OR$\,\,\,$$786.385 \ldots {\text{ cm}})$     (A1)     (C3)

[3 marks]

34°     (A1)     (C1)

[1 mark]

Units are required in parts (a) and (c).

$\sin 34^\circ  = \frac{{{\text{height}}}}{{7.86385 \ldots }}$     (M1)

Note:     Award (M1) for correct substitution into a trigonometric ratio.

$({\text{height}} = ){\text{ }}4.40{\text{ m}}$$\,\,\,$OR$\,\,\,$$440{\text{ cm }}(4.39741 \ldots {\text{ m}}$$\,\,\,$OR$\,\,\,$$439.741 \ldots {\text{ cm}})$     (A1)(ft)     (C2)

Note:     Accept “BT” used for height. Follow through from parts (a) and (b). Use of 7.86 gives an answer of 4.39525….

[2 marks]