Given the following triangle, if c = 23.5 and m B = 51°, find a to the nearest whole number

Mathematics

1 answer:

klasskru [66]3 years ago

8 0

Answer:

A. 15

Step-by-step explanation:

We are given a right angles triangle with hypotenuse length (c) = 23.5 and ∠B = 51°.

Now, using the trigonometric forms of a right angled triangle, we get,

$\cos51=\frac{adjacent}{hypotenuse}$

i.e. $\cos51=\frac{a}{c}$

i.e. $0.6293=\frac{a}{23.5}$

i.e. $a=0.6293 \times 23.5$

i.e. $a=14.8$

So, the value of a = 14.8.

Hence, the nearest whole number to 14.8 is 15 i.e. a = 15.

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Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re

fiasKO [112]

Answer: $R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}$

Step-by-step explanation:

Given

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