A ladder is leaning against a house so that the top of the ladder is 12 feet above the ground. The angle the ladder makes with the ground is 51°. How long is the ladder? 12•sin51°
12/cos51°
12•cos51°
12/sin51°
None of these

12/sin5°

Step-by-step explanation:

This angle can be calculated using the law of sine:

sin(angle)=opposite cathete/hypothenuse

sin(angle)=wall/ladder

In this exercise we want to calculate the length of the hypotenuse (ladder), so the equation is changed afterwards.

sin(angle)=wall/ladder

sin(angle)*ladder=wall

ladder=wall/sin(angle)

Now the given values are used:

ladder=wall/sin(angle)

ladder=12ft/cos(51°)

he spend 5.1 minutes chatting with his friends

step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5 1/10

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.