Math Problem Solver

St Francis Xavier College

Chapter 11 Applications of trigonometry: Skillsheet IIE

Name:

1 IE Angles or elevation and depression

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6

The angle of elevation measured from ground level to the top of a tall tree was 410. The

distance of the measurer from the base of the tree was 38 m. How tall was the tree? Give

your answer to the nearest metre.

When Darcy looked from the top of a cliff, 60 m high. he noticed his girlfriend at an

angle Of depression of 200 on the ground below. How far was she from the base Of the

cliff? Answer to one decimal place.

From the top of a mountain, I could see a town at an angle of depression of I .40 across the

level plain. Looking at my map, I found that the town was 10 km away. Find the height of

the mountain above the plain, to the nearest metre.

b

Find the length x, to one decimal place.

Find the angle 9, to the nearest degree.

35 m

390

20 m -+

A police helicopter hovering in a fixed position at an altitude of 500 m moved its

spotlight through an angle of depression of 5T onto a lost child. The pilot sighted the

rescue team at an angle of depression of 310. If the terrain was level, how far, to the

nearest metre, was the rescue team from the child?

Point A is located 200 m from the base of the tower TG. The top of the tower has an angle

Of elevation Of 350 when viewed from A.

The point B is 150 m from the base of the tower.

The top of the tower makes an angle of elevation of

650 when viewed from point C.

How far apart, to one decimal place, are the points

B and c?