TutorMe homepage

SIGN IN

Start Free Trial

Brandon N.

Math and Business Tutor

Tutor Satisfaction Guarantee

Trigonometry

TutorMe

Question:

If the height of a gable end of a roof is 22.5 feet and the rafters are 30 feet 8 inches long, at what angle do the rafters slope, and how wide is the gable end at the base?

Brandon N.

Answer:

A gable end ABD of a roof is an isosceles triangle with the base being the width of the house, and the two equal sloping sides the rafters at the end of the roof. If you drop a perpendicular from the apex B of the triangle, you’ll get two congruent right triangles, ABC and DBC. Since you know two sides of the right triangle ABC, you can compute the third by using the Pythagorean theorem. You can use sines to determine the angle of slope, since sin A = BC/AB = 22.5'/30'8" = 0.7337. To find the angle A, you’ll need what’s called the arcsine of 0.7337. The arcsine function is inverse to the sine function, and your calculator can compute them. Usually there’s a button on the calculator labeled “inv” or “arc” that you press before pressing the sin button. Then you’ll have the angle. Your calculator can probably be set to either degree mode or radian mode. If it’s set to degree mode, then you’ll get the angle in degrees; and if it’s set to radian mode, then you’ll get the angle in radians. Always be sure you know which mode your calculator’s set to.

Calculus

TutorMe

Question:

What is the definition of a limit?

Brandon N.

Answer:

We say that a limit of f(x) is L as x approaches a and write this as the limit as x approaches a for f(x) is equal to L provided we can make f(x) as close to L as we want for all x sufficiently close to a, from both sides, without actually letting x be a.

Algebra

TutorMe

Question:

What is the definition of an inverse function?

Brandon N.

Answer:

Let f and g be two functions such that f(g(x)) = x, for every x in the domain of g g(f(x) = x, for every x in the domain of f, then the function g is said to be the inverse of the function f and is denoted f^-1. The domain of f is equal to the range of f^-1 and the range of f is the domain of f^-1.

Send a message explaining your

needs and Brandon will reply soon.

needs and Brandon will reply soon.

Contact Brandon

Ready now? Request a lesson.

Start Session

FAQs

What is a lesson?

A lesson is virtual lesson space on our platform where you and a tutor can communicate.
You'll have the option to communicate using video/audio as well as text chat.
You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.

How do I begin a lesson?

If the tutor is currently online, you can click the "Start Session" button above.
If they are offline, you can always send them a message to schedule a lesson.

Who are TutorMe tutors?

Many of our tutors are current college students or recent graduates of top-tier universities
like MIT, Harvard and USC.
TutorMe has thousands of top-quality tutors available to work with you.

Made in California

© 2019 TutorMe.com, Inc.