from a boat on the lake the angle of elevation to the top of a cliff is 18°41’. if the base of the cliff is 991 feet from the boat how high is the cliff (to the nearest foot)

The cliff is 335 feet tall.

Step-by-step explanation:

First you convert the angle to degrees and you get 18.683 degrees.

Then you set up the equation where x is the height of the cliff.

Tan(18.683) = (x/991)

Then you solve for x and you get 335 ft when your ound to the nearest whole number.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204