A summer camp counselor wants to find a length, x, in feet, across a lake as represented in the sketch above. The lengths represented by AB, EB, BD and CD on the sketch were determined to be 1800 feet, 1400 feet, 700 feet and 800 feet respectively. Segments AC and DE interest at B, and $\angle AEB$ and $\angle CDB$ have the same measure. What is the value of x?

In triangle ABC, the measure of $\angle B$ is 90°, BC = 16 and AC = 20. Triangle DEF is similar to triangle ABC, where vertices D, E and F correspond to vertices A, B and C respectively and each side of triangle DEF is $\frac{1}{2}$the length of the corresponding side of triangle ABC. What is the value of sinF?

The dynamic pressure q generated by a find moving with velocity can be found using the formula $q=\frac{1}{2}n{v}^2$ where n is the constant density of the fluid. An aeronautical engineer uses moving with velocity 1.54v. What is the ratio of the dynamic pressure of the faster fluid to the dynamic pressure of the slower fluid?

Amin has 12 pieces of Tk. 10 and Tk. 5 notes in his wallet. If the total value of all the notes is less than Tk. 95, what is the maximum number of Tk. 10 notes that he has?