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The figure below shows two right triangles drawn at 90° to each other. Redraw the figure below, label it as the problem indicates, and then solve the problem. angle ABD=52^ C=43^ , BC = 29 , find x and then find h. (Round each answer to the nearest whole number.)

The figure below shows two right triangles drawn at 90 to each other Redraw the figure below label it as the problem indicates and then solve the problem angle class=

Respuesta :

Eduard22sly

Answer:

1. x = 27

2. h = 35

Step-by-step explanation:

From the question given above, the following data were obtained:

<ABD = 52°

Angle C = 43°

Line BC = 29

x =..?

h =...?

1. Determination of the value of x.

Angle C = 43°

Line BC = 29

x =..?

Using Tan ratio, the value of x can be obtained as follow:

Opposite = x

Adjacent = Line BC = 29

Angle C = 43°

Tan C = Opposite /Adjacent

Tan 43° = x/29

Cross multiply

x = 29 × Tan 43°

x = 29 × 0.9325

x = 27.0425 ≈ 27

x = 27

2. Determination of the value of h.

<ABD = 52°

x = 27

h =...?

Using Tan ratio, the value of h can be obtained as follow:

<ABD = 52°

Adjacent = x = 27

Opposite = h

Tan <ABD = Opposite /Adjacent

Tan 52° = h/27

Cross multiply

h = 27 × Tan 52

h = 27 × 1.2799

h = 34.5573 ≈ 35

h = 35