A 29 foot ladder leans against a building so that the angle between the ground and the ladder is 77º. How high does the ladder reach up to the side of building? Round to one decimal place.
ft

5 √ 10 + 2 √ 5 ft high

Step-by-step explanation:Explanation:

Let  h be the height to which latter of length of 20 ft reach then using Sine formula in right triangle with hypotenuse 20 & vertical leg h & opposite acute angle 0 = 72∘ sin θ =h 20 sin 72∘= h 20

h

=

20

sin

(

90

∘

−

18

∘

)

=

20

cos

18

∘

=

20

(

√

10

+

2

√

5

4

)

=

5

√

10

+

2

√

5

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

s

step-by-step explanation: