From the top of a tower, the angle of depression to a flower on the ground is 74º. The top of the tower is 90 feet above ground. How far is the flower
from the foot of the tower? (Round to 1 decimal place.) *

25.8 ft

Step-by-step explanation:

Draw a right triangle with the right angle at the foot of the tower. The interior angle of the triangle at the top is the complement of the angle of depression. 90 - 74 = 16; it measures 16°. The leg at the bottom has length x. The height of the tower is the vertical leg and is 90 ft. We are looking for x.

For the 16° angle, x is the opposite leg, and 90 ft is the adjacent leg.

tan A = opp/adj

tan 16° = x/(90 ft)

x = 90 ft * tan 16°

x = 25.8 ft

25.8 ft

45

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b