Question

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.)

Answer 1

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