An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 35 feet up. The ladder makes an angle of 79° with the ground.
Find the length of the ladder. Round your answer to the nearest hundredth of a foot if
necessary.

35.66 feet

Step-by-step explanation:

Draw the scenario

We will use trigonometry to solve for the ladder length.

We are given the opposite, and we are looking for the hypotenuse, so we will use sin

We get an answer of 35.65, the question asks us to round to the nearest hundredth, so the answer is 35.66

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

exactly you go it

step-by-step explanation: