A ladder leans against a building, making a 70° angle of elevation with the ground. The top of the ladder reaches a point on the building that is 39 feet above the ground. To the nearest tenth of a foot, what is the distance between the base of the building and the base of the ladder?

Question 4 options:

13.3 ft

14.2 ft

36.6 ft

41.5 ft

14.2feet

Step-by-step explanation:

Given the following

Angle of elevation = 70degrees

Height of the building from the ground = 39feet (opposite)

Required

distance between the base of the building and the base of the ladder (adjacent)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 70 = 39/d

d = 39/tan 70

d = 39/2.7475

d =  14.2

Hence the distance between the base of the building and the base of the ladder is 14.2feet

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is