3 years ago

In the triangle below, x= cm round to the nearest tenth

Mathematics

1 answer:

Nikitich [7]3 years ago

6 0

9514 1404 393

Answer:

8.6 cm

Step-by-step explanation:

We notice the hypotenuse is given, and the desired length is of the side opposite the given angle.

The mnemonic SOH CAH TOA reminds you of the relevant relationship:

Sin = Opposite/Hypotenuse

sin(35°) = x/(15 cm) . . . . . . fill in the given information

We can multiply by 15 cm to find the value of x.

x = (15 cm)sin(35°)

x ≈ 8.6

_____

For those inclined to copy this answer to a different question, we suggest ...

y = (15 cm)cos(35°) ≈ 12.3 cm

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