An observer standing on a cliff 320 feet above the measured angles of depression of the near and far sides of an island to be 16.5? and 10.5? respectively. how long is the island to the nearest foot?

94.72ft and 59.2ft

Step-by-step explanation:

Tan16.5=x/320

320tan16.5= 0.296

320(0.296)=94.72ft

Tan10.5=y/320

320tan10.5=0.185

320(0.185)=59.2ft

mathpapa

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week