Hello, yeah!

#2 took a lot of work . . . #3 is similar.

Maybe someone else can find a more direct solution.

2. The angle of elevation of the top of a tower is 38° from a point A south of it.

The angle of elevation of the top of the tower is 29° from a point B east of it.

Find the height of the tower if the distqance AB is 50m. Code:

P
o
*| *
* | *
* | *
* |h *
* | *
* | *
* | x 29° *
* o * * * * * o B
*38° * Q *
* * y * 50
* * *
A o

The tower is:

Let:

In right triangle .[1]

In right triangle .[2]

Equate [1] and [2]: . .[3]

In right triangle

Substitute [3]: .

. .

. .

Substitute into [2]: .

. . Grab your calculator . . .