the height of the house is 
.
<u>Step-by-step explanation:</u>
Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find What is the height of the house . Let's find out:
Let y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.
Distance of house from point A( initial point ) = x ft
Distance of house from point B( when she traveled 200 ft towards street = x-200 ft
Now , According to question these scenarios are of right angle triangle as
At point A
⇒ 
⇒ 
⇒ 
..................(1)
Also , At point B
⇒ 
⇒ 
..............(2)
Equating both equations:
⇒ 
⇒ 
⇒ 
⇒ 
Putting in we get:
⇒
⇒ 
⇒ 
Therefore , the height of the house is .
Answer:
1.12
Step-by-step explanation:
all you have to do is multiply them, hope i helped
Answer:
30
40 - 5x
Step-by-step explanation:
Caroline is taking test worth 40 points that has 5 points per question. If she got 2 questions wrong, she would have a score of `30.
2 × 5 = 10
40 - 10 = 30
If Caroline got x questions wrong, she would have a score of 40 - 5x.
The answer is:
A solid and a plane.
The expression for the number of painted turtles in the pond will be 1/3f - 10.
Let the number of bullfrogs be represented by f.
From the given information, the number of painted turtles in a pond is ten less than one-third of the number of frogs, the expression for this will be:
= (1/3 × f) - 10
= 1/3f - 10
Therefore, the expression for the number of painted turtles in the pond will be 1/3f - 10. This implies that we have to multiply the fraction by f and then subtract 10 from the value.
In conclusion, the correct option is 1/3f - 10.
Read related link on:
brainly.com/question/24950597
