A ladder of length 4.5m is leaning against a wall. The foot of the ladder is 2.3m from the base of the wall. What is the angle the ladder makes with the wall?

This is an application of trigonometry. The right angle in this case is between the wall and the floor and the hypotenuse is the ladder. The angle between the wall and the ladder can using the sine of the angle.
sin(angle) = opposite / hypotenuse = 3.2 /6.4 = 0.5Therefore, angle = sin-1(0.5) = 30°
We can also use the cosine of the angle, although this would require an extra step of finding the length of the wall using Pythagoras.

NF
Answered by Nicci F. Maths tutor

5128 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

write (x+2)(x+3)(x+5) in the form ax^3+bx^2+cx+d


Expand (2x+4)(x-3)


5 students are in a maths class and 10 students are in a physics class. The mean mark of the maths class is 90 and the mean mark of the physics class is 85. Work out the mean mark of both classes.


Solve the simultaneous equations: 3x+2y=22, x=y-1


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences