A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the point (P) on the tower and the top(T) of the tower are 30° and 50° respectively. ( a) draw a diagram to illustrate the information above.
(b) calculate correct to 3 s. f,
( I) /PT/
(ii) the distance between H and the too of the tower.
(III) the position of H if the angle of depression of H from the too of the tower is to be 40°

a. See Attachment 1

b.

c.

d.

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

Multiply both sides by 20

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

Multiply both sides by 20

(Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

Substitute 20 for OH and

Take Square Root of both sides

(Approximated)

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

Multiply both sides by OT

Substitute

(Approximated)

one of each metals

step-by-step explanation:

yes

yes yes yes