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find 0. round to the nearest degree. 15 4

Answer:

68.2

Step-by-step explanation:

You can use a^2+b^2=c^2 to find the length of the missing side, where c^2 is the hypotenuse (side 14).

5^2+x^2=14^2

25+x^2=196

x^2=196-25=171

x=13.0 (rounded)

Next, use one of sin or tan to find the missing angle.

Sin0=opposite/hypotenuse

Sin0=13/14

0=sin^-1(13/14)

0=68.213 (rounded)

The value of the angle asked is 69°.

Given is a right triangle, with base = 5 units and the hypotenuse is 14 units,

We need to find the angle θ which is between the base and the hypotenuse,

To find the angle θ between the base and the hypotenuse of a right triangle, we can use the trigonometric function cosine (cos).

The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

In this case, the base of the triangle is the adjacent side, and the hypotenuse is given as 14 units.

Therefore, we can use the following formula:

cos(θ) = adjacent/hypotenuse

Plugging in the values we know:

cos(θ) = 5/14

To find the angle θ, we need to take the inverse cosine (arccos) of both sides:

θ = arccos(5/14)

θ = 69°

Hence the value of the angle asked is 69°.

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