a plane takes off at an angle of 30 degrees and reaches a height of 10 miles. what is the diagonal distance it has traveled from
take off to its current position
1 answer:
Answer:
20 miles
Step-by-step explanation:
We apply trigonometry and using the attached illustration, we know that sine of an angle is the ratio of opposite to hypotenuse. In this case, the hypotenuse is the diagonal in question.
Sin 30°=10/hypotenuse
Hypotenuse=10/sin30°=10/0.5=20 miles
Therefore, the plane has gone a diagonal distance equivalent to 20 miles from its take off position
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There will be 9 trips the ferry makes and on the last trip there will be 5 cars on the ferry.
Answer:
n is a positive integer and here 90, 91, 92, 93, 94 and 95 is 9⁰ = 1
9¹ = 9
9² = 81
9³ = 729
9⁴ = 6561
9⁵ = 59049
so mathematical induction is prove given below.
Step-by-step explanation:
9⁰ = 1
9¹ = 9
9² = 81
9³ = 729
9⁴ = 6561
9⁵ = 59049
lets us consider by P (n) for the base case n = 0 then 9⁰ = 1 So P (1) is true
k ≥ 1so consider all integers
1≤l≤ k
There is a need to prove P (k+1)
if k is odd
=
.9.
is 9 so
= 9 +10m
then
= 9 ( 9 + 10m)
=81 + 10 (9m)
so digit is 1 and k +1 is even