A 15) Lesson Quiz - Trigonometry>>▶ IIΚΟΣ OA 14-ft-long ramp rises at an angle of 22.28. Which trig ratio should be used to find how long the base of theramp is?You should use

A 15 Lesson Quiz Trigonometrygtgt IIΚΟΣ OA 14ftlong ramp rises at an angle of 2228 Which trig ratio should be used to find how long the base of theramp isYou sh class=

Respuesta :

Answer:

Cosine

Explanation:

We were given that:

Length of ramp = 14 ft

Angle of elevation = 22.28 degrees

We have a diagrammatic representation below:

We will proceed to find the base using the Trigonometric Ratio as shown below:

[tex]\begin{gathered} \text{We were given the hypotenuse \& the adjacent sides, hence, we have:} \\ CAH\Rightarrow\cos\theta=\frac{adjacent}{hypotenuse} \\ hypotenuse=14ft \\ adjacent=x \\ \theta=22.28^{\circ} \\ \cos(22.28^{\circ})=\frac{x}{14} \\ \text{Cross multiply, we have:} \\ x=14\cos(22.28^{\circ}) \\ x=12.9548\approx13.0 \\ x=13.0ft \end{gathered}[/tex]

We will thus use the cosine function to obtain the length of the base of the ramp

Ver imagen BrieanaK377486