In the Tour de France, a bicyclist races up two successive (straight) hills of different slope and length. The first is 2.00 km long at an angle of 5.00° above the horizontal.
This is immediately followed by one 3.00 km long at 7.00°. Calculate the actual overall (net)
angle of rise experienced by this racer from start to finish?

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

x/3-10=8

x/3=18

x=48