Mathematics, 06.11.2019 20:31 oliviastarkweather16

A40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the base of the ladder? round your answer to the nearest hundredth.

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Answer from: manoli5874

The base of the ladder is 34.80 ft away.

Solution:

Given, Length of the ladder is 40 ft; The angle formed by ladder on ground

A right angle triangle is formed with hypotenuse is 40 ft, angle is and to find base (adjacent) is b.

The trigonometric function to find the missing side of the right angled triangle is

Therefore, the distance between the base of the ladder and the building is 34.8 ft.

Rounding 34.8 to the nearest hundred gives the value 34.80.

Answer from: iixyloa

The ladder inclined to the wall of the building and its length is 20ft. The ladder forms a 72° angle with the ground.

We are asked to solve for the distance of the base of the ladder to the building. Thus, we can use SOH CAH TOA and we have the solution below:

cos 72°=adjacent/20ft

adjacent=20*cos72°

adjacent=6.18 feet

The distance is 6.18 feet.

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Answer from: Quest

Ihave, but this question is gonna probably get deleted.

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