Answer:
Answers are below
Step-by-step explanation:
The baseball is 36 ft in the air after 1 second. The maximum height of the baseball of 69.8 ft.
To find these answers, I used the graph below.
The measure of angle A is 55°.
Solution:
Let us take B be the adjacent angle of 145°.
<em>Sum of the adjacent angles in a straight line = 180°</em>
⇒ m∠B + 145° = 180°
Subtract 145° from both sides.
⇒ m∠B + 145° - 145° = 180° - 145°
⇒ m∠B = 35°
The adjacent angle of 145° is 35°.
In the image, angle B and angle A equal to 90°.
⇒ m∠B + m∠A = 90°
⇒ 35° + m∠A = 90°
Subtract 35° from both sides.
⇒ m∠A = 55°
The measure of angle A is 55°.
Answer: 65
Step-by-step explanation:
First you have to multiply. 150 x 0.4 = 60
Then you have to subtract 60 from 150, you get 90. Then subtract 25. 90 - 25 = 65.
The answer is 5.1 when you enter it into a calculator :)
<span>Replace tan θ with sin θ/cos θ
= sin²θ/cos θ + cos θ
Now multiply the right-hand side by cos θ/cos θ to get the same denominator:
= sin²θ/cos θ + cos²θ/cos θ
= (sin²θ + cos²θ)/cos θ
The numerator is equivalent to 1:
= 1 / cos θ
= sec θ</span>