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Answer:
54.8 feet
Step-by-step explanation:
We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram below.
This can be found using the Law of Sines.
∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.
∠MPH is the difference in the angles of elevation, so is 28°.
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The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...
PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)
Multiplying by MH, we can find the length of PH:
PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft
PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.
After solving the provided question, Aisha spent 7.9 hours and 9.9 hours, respectively, working last week as a babysitter and a landscaper.
<h3>Which is an equation?</h3>A mathematical statement that has at least two terms, both of which contain variables or equal integers, is defined as an equation.
Aisha is reportedly working two summer jobs, earning $7 an hour for babysitting and $8 an hour for gardening.
Let's say you were to watch the children for x hours.
And y would be the amount of hours spent on landscaping.
Last week, Aisha spent two more hours babysitting than a landscaper, earning a total of $134.
To more about the equation here:
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