A 10-foot ramp must make an angle of 30° with the ground if it is to reach a certain window. What angle must a 15-foot
ramp make with the ground to reach the same window?

19.47°

Step-by-step explanation:

In solving problems like this, it's best to work on a diagram (see attached image). First, given the angle formed by the ramp and the length of the ramp, we can apply the properties of right triangles and recall that 

Hence, we have

Now that we have the window's height, we can compute for the angle, θ, if the ramp has a length of 15.

Therefore, for the 15-foot ramp to reach the window, the ramp must form an angle of 19.47°.

 19.47°

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

a. george's love for snowboarding, bungee, jumping, and whitewater kayaking has lead to a scholarship.