Answer to Question #44256 in Trigonometry for Em

Question

The angle of elevation of a tower from a point
L is 62°. From a point K, 50 m further from the tower, the
angle of elevation is 47°. (Let the height of the tower be h.)
a Use the sine rule in ΔKTL to show that:
TL =
b Use trigonometry in ΔLMT to show that:
TL =
c Hence, show that h =
d Calculate the height, h, of the tower, correct to one decimal place.
15 From the top of a cliff, the angles of depression of two boats
at sea 0.5 km apart are 55° and 33°. (Let the height of the cliff
be h.)
a Show that the height of the cliff is:
h =
b Hence, calculate the height, correct to the nearest metre.