Answer:
Step-by-step explanation:
sin(θ) = 2/7
sin²(θ) +cos²(θ) =1


Answer is positive because tangent is positive, sin is also positive, and tan=sin/cos.
In this item, we are not given with the figure but knowing that these lines ought to be perpendicular then we will be able to derive the relationship between the slopes of the line.
The slopes of the perpendicular line are the negative reciprocals of one another. If we represent the slopes of the lines as m₁ and m₂, the relationship can be written in the form,
(m₁)(m₂) = -1
We are given with one of the slopes. To determine the value of the second slope then,
m₂ = -1/m₁
m₂ = -1/(2/5)
m₂ = -5/2
<em>ANSWER: m₂ = -5/2</em>
Answer:
165.8 ft (nearest tenth)
Step-by-step explanation:
We can use the tan trig ratio to calculate the height of the tower.

where:
= the angle- O = the side opposite the angle
- A = the side adjacent the angle
From inspection of the diagram:
= 37°
- O = height of tower (let's call this h)
- A = 220 ft
Substituting these values into the trig tan ratio:

Multiply both sides by 220:



Therefore, the height of the tower is 165.8 ft (nearest tenth)
Answer:
40 m
Step-by-step explanation:
158 · 2.54 = 401.32
401.32/100 = 40.132
40.132 ≈ 40