Aidan and Blake are 626 m apart. Cody flies overhead in a plane between them. At the same time, they measure the angle of elevation of the plane. Aidan measures the angle of elevation to be 63 degrees. Blake measures it to be 36 degrees. What is the altitude (height) of the plane? Include a diagram.

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Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.