# Answer to Question #44256 in Trigonometry for Em

Question #44256

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.

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.

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