since the angle is 45º, you have an isosceles right-angled triangle
so 7 is the hypotenuse and each of the other two sides can be called x
x^2 + x^2 = 7^2
2x^2 = 49
x^2 = 24.5
x = √24.5 = approx. 4.95 m
OR
sin 45º = height of wall/7
height of wall = 7sin45º
= 7(.7071067)
= appr. 4.95 m
A pole 7 meters long is placed against a wall at an angle of 45 degrees, what is the height of the wall
3 answers
If the top of the pole (of length L) rests on the top of the wall, the wall height H is such that
sin 45 = H/L = (sqrt2)/2
Solve for H
sin 45 = H/L = (sqrt2)/2
Solve for H
Use a trig function that states
opposite/hypotenuse.
Of course, this would be the sine function.
sin(45degrees) = h/7meters
Let h = height of building
sin45 = h/7
sin45 times 7 = h
4.949747468 = h
Round 4.949747468 to the nearest tenths becomes 4.95 meters.
The height of the building is about
4.95 meters in height.
opposite/hypotenuse.
Of course, this would be the sine function.
sin(45degrees) = h/7meters
Let h = height of building
sin45 = h/7
sin45 times 7 = h
4.949747468 = h
Round 4.949747468 to the nearest tenths becomes 4.95 meters.
The height of the building is about
4.95 meters in height.