Find the height of the ramp and the length of the base of the ramp

the height of the ramp is 6.1ft

the length of the base of the ramp is 12.6 ft

Step-by-step explanation:

Triangle ABC is a right angle triangle.

The length of the ramp represents the hypotenuse of the right angle triangle.

With 26 degrees being the reference angle,

The opposite side of the right angle triangle = x

The adjacent side of the right angle triangle = y

To determine x, we would apply the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse

Sin 26 = x/14

x = 14Sin26 = 14 × 0.4384 =

x = 6.1

To determine y, we would apply the Cosine trigonometric ratio.

Cos θ = adjacent side /hypotenuse

Cos 26 = y/14

x = 14Cos26 = 14 × 0.8988 =

x = 12.6

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!