Given a right-angled triangle with an angle of 35 degrees and an Opposite side of 12cm, calculate the length of the hypotenuse to 3 significant figures.

First, determine which of SOH-CAH-TOA you need to use. As this question involves the Hypotenuse and the Opposite side, use Sine. As such, write out the equation as: sin(35) = 12/x. (Let x represent the Hypotenuse value). Next, rearrange the equation to: x = 12/sin(35). To do this, multiply both sides of the equation by x and divide both sides by sin(35).Now, input 12/sin(35) into your calculator to give x = 20.9 to 3 significant figures.

Answered by Eloise S. Maths tutor

5993 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I use Pythagorus' Theorum?


Find the length of the longest side in this triangle.


Find the area of a circle with a diameter of 4cm.


A right-angled triangle has two smaller sides of length 5cm and 12cm. What is the length of the hypotenuse?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences