Brett wants to paint the exterior of his two-story home but does not know what length ladder he should buy. the top of his roof is 29 ft above ground level, and (for safety reasons) the ladder should not be at more than an 80° angle from the ground. how long, rounded up to the nearest foot, is the shortest ladder that brett should buy?

Brett should buy a ladder of minimum 30 ft length.

Step-by-step explanation:

Brett wants to paint his exterior of a double story home.

Height of the roof of the second story from the ground = 29 feet

Maximum angle between the ground and the ladder should be = 80°

Now from the figure,

sin 80° =

0.9848 =

AC =

AC = 29.45

     ≈ 30 ft

Therefore, Brett should buy a ladder of minimum 30 ft length.

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.