Question

solve for angle a, new question, please help!

Answer 1

similar to before:

\[a = \tan^-1(4/5) \]
a=38.65980825

Answer 2

i have one more can you help me? @Omistone

Answer 3

Take the tangent of angle a, its gives us tan a = 4/5. ( Tangent = opposite/ adjacent). So 4/5 = 0.8. To find the angle a we take the inverse tangent of 0.8 which gives us
38.6 degrees

Answer 4

sure

Answer 5

A ladder is resting against a wall. The ladder and the ground make an angle of 45° and the ladder is 7 ft from the wall. How long is the ladder?

Answer 6

Let the length of the ladder be x, to find x we use the cosine of 45, so its cos 45= 7/x, solving for x in that equation we get x=7/cos 45, x becomes 9.8 feet.

Answer 7

thank you :)

Answer 8

so here you are given the following values:

Angle = 45 degrees
adjacent length = 7ft

so we use the cosine rule:

cos(angle) = adjacent/hypotenuse

rearrange to fit our question (we are trying to find the hypotenuse, length of ladder)

hypotenuse = adjacent/cos(angle)

Length = 7/cos(45)

=9.899494937

therefore the ladder is 9.9ft long

Answer 9

Actually, Isaiah.Feynman, 9.8ft is not correct and would result in the deduction of marks on an exam.
Correctly rounded, the answer is 9.9ft.

Answer 10

@Omistone I didn't round at all, but thanks for the heads up.