Question

4 measurements = 10 points Can anyone help?

Answer 1

FIG A : ANGLE OF BAC = 67.38 °

FIG B : LENGTH OF RT = 10.549 cm

FIG C: LENGTH OF AB =  5.282 cm

FIG D:  ANGLE OF ACB = 37.303°

Step-by-step explanation:

Fig A:

ABC angle = ( Opposite side) / (Hypotenuse)

                  Sin Ф = (12) / (13)

                   Ф = Sin⁻¹ ( 12/13)

                    Ф = 67.38 °

Fig B:

By the basic property of  trigonometry

Tan Ф = (Opposite side) / (Adjacent side)

Tan Ф = (14)/ X

X= 14 / (Tan 53° )

Length of RT = 10.549 cm

Fig C:

By the basic property of trigonometry

Sin Ф = (Opposite side) / (Hypotenuse)

Sin Ф = (X) / 12.5

X = 12.5 $*$ Sin 25°

X=  5.282 cm

Fig D:

From the basic property of Trigonometry

Tan Ф = (Opposite side) / (Adjacent side)

Tan Ф = (8/10.5)

Ф = Tan⁻¹ ( 8/10.5)

  Ф = 37.303°