joycemata899 joycemata899
  • 14-01-2021
  • Mathematics
contestada

The diagram shows a right-angled triangle.
51°
8 cm
hcm
What is the value of h?
Give your answer correct to 1 decimal place.

The diagram shows a rightangled triangle 51 8 cm hcm What is the value of h Give your answer correct to 1 decimal place class=

Respuesta :

Muscardinus Muscardinus
  • 19-01-2021

Answer:

h = 9.87 cm

Step-by-step explanation:

Given that,

Base, b = 8 cm

Height = h

Angle, [tex]\theta=51^{\circ}[/tex]

We need to find the value of h. We can use trigonometry to find h.

[tex]\tan\theta=\dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(51)=\dfrac{h}{8}\\\\h=\tan(51)\times 8\\\\h=9.87\ cm[/tex]

So, the height of the triangle is 9.87 cm.

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