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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=

Sagot :

Answer:

h ≈ 9.9 cm

Step-by-step explanation:

By applying tangent rule for the given angle in the given right triangle,

tan(51°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(51°) = [tex]\frac{h}{8}[/tex]

h = 8 × tan(51°)

h = 9.879

h ≈ 9.9 cm

Therefore, measure of side 'h' is 9.9 cm.

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