kmbriggs20
kmbriggs20 kmbriggs20
  • 23-11-2020
  • Mathematics
contestada

Use the diagram to find the height of statue.round to the nearest tenth

Use the diagram to find the height of statueround to the nearest tenth class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 28-11-2020

Answer:

7.3 ft

Step-by-step explanation:

The information given represents a right angle triangle with the following:

reference angle = 52°

Adjacent side length = 5.7 ft.

Opposite side length = height of the statue = h

Applying the trigonometric ratio formula, we would have:

[tex] tan(52) = \frac{h}{5.7} [/tex]

Multiply both sides by 5.7

[tex] tan(52) \times 5.7 = \frac{h}{5.7} \times 5.7 [/tex]

[tex] tan(52) \times 5.7 = h [/tex]

[tex] h = 7.3 ft [/tex] (nearest tenth)

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