Answer:
The angle of elevation of the sun is 39⁰
Step-by-step explanation:
Given;
height of the tree, h = 96 ft
length of the shadow, L = 120 ft
|
| 96ft
|
|
θ------------------------------------
120ft
Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.
Apply trig-ratio to determine the angle of elevation of the sun;
tanθ = opposite side / adjacent side
tanθ = 96 / 120
tanθ = 0.8
θ = tan⁻¹(0.8)
θ = 38.7⁰
θ = 39⁰
Therefore, the angle of elevation of the sun is 39⁰
Answer:
17c + 9 = 10c + 9 - 7c
COMBINE LIKE TERMS
10c + 7c = 17c
9 IS NOT A LIKE TERM, SO WE LEAVE IT ALONE
9r=3r+6
Subtract 3r from both sides
6r=6
Divide both sides by 6
r=1
1 .Fridays and Saturdays, she works 16 hours
16 x $9.70 = $155.20
answer: her gross pay in a week: $155.20
2. 7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. His gross pay for all three days was $196.90
7 + 6 + 9 = 22
196.90 / 22 = $8.95
answer: his hourly rate was $8.95
3.hourly rate of $11.28 per hour worked 46 hours last week. She works overtime for hours exceeding 40 hours in a week. She is paid overtime at a rate of time and a half. What was her gross pay last week?
$11.28 x 40 = $451.20 ---normal 40 hours paid
46 - 40 = 6 (6 hours over time)
11.28 + 11.28/ 2 = $16.92 (overtime pays a rate of time and a half)
6 * $16.92 = $101.52
$451.20(40hours) + $101.52(6hours overtime) = $552.72
answer: her gross pay last week was $552.72
4. Paul received a $15 tip on a meal that cost $120. What percent of the meal cost was the tip?
15 / 120 = .125
.125 * 100 = 12.5%
answer: percent of the meal cost was the tip was 12.5%
5. Carly earns a weekly salary of $720 plus 4% commission. Last week, she sold $3250 worth of products. What was her gross pay?
4% = .04
$3,250 * .04 = $130 (commission on sold products)
$720 + $ 130 = $850
answer: her gross pay was $850
