Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) = 


By applying tangent rule in the given right triangle BOC,
tan(60°) = 
OC = BO(√3)
OA + OC = AC

2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) = 
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3
The distance between the bottom of the lighthouse and the boat is 77.6m.
<h3>What is the
distance between the
bottom of the lighthouse and the
boat?</h3>
The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The distance between the top of the lighthouse and boat would be the hypotenuse. The distance between the bottom of the lighthouse and the boat would be the base.
In order to determine the required distance, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
- where:
a = length - b = base
- c = hypotenuse
125² = 98² + b²
b² = 125² - 98²
b = √(25² - 98² )
b = 77.6m
To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
#SPJ1
Answer: there are 8 cars. Each car has 4 tires. How many tires are there in all?
In this case you’ll have to do 8 x 4 because there are 8 cars and to know how many tires you’ll have to count 4 times the number of cars, 8.
Hope this helped and pls mark as brainliest!
~ Luna
<u>Answer:</u>
The ratio of African Americans to Hispanics Americans present is 16 : 5
<u>Explanation:</u>
Given the people attending the soccer game were:
2800 among them are Caucasians
4800 are African Americans
1500 are Hispanics
And, 1400 of those were from other ethnic backgrounds
We have to find the Ratio of African Americans to Hispanics Americans
Therefore,
African Americans : Hispanics Americans = 4800 : 1500

Hence, the ratio of African Americans to Hispanics Americans present in the ratio were 16 : 5
Probability of choosing pink balloon is
.
Step-by-step explanation:
Given,
Number of green balloons = 5
Number of yellow balloons = 3
Number of red balloons = 4
Number of pink balloons = 8
Total number of balloons = 5+3+4+8 = 20
To find the probability of pink balloon.
Formula
Probability of an even = number of outcomes ÷ total number of outcomes
So,
Probability of choosing pink balloon =
= 