Question

Giovanny Toral-Gomez is standing 118 feet from the base of the Washington Monument. He measures the angle of elevation from the ground to the top of the monument to be 78° Find the height h of the Washington Monument to the nearest foot.

143

likes

717 views

Answer to a math question Giovanny Toral-Gomez is standing 118 feet from the base of the Washington Monument. He measures the angle of elevation from the ground to the top of the monument to be 78° Find the height h of the Washington Monument to the nearest foot.

$Expert avatar$

Rasheed

4.7

110 Answers

We can use the tangent function to find the height of the Washington Monument.
Let h be the height of the Washington Monument. The tangent of the angle of elevation is defined as the opposite side over the adjacent side.
We have:

\tan(78^\circ) = \frac{h}{118}

Solving for h:

h=118\cdot\tan(78^{\circ})\approx555\text{feet}

Therefore, the height of the Washington Monument is approximately

\boxed{555\,\text{feet}}

Frequently asked questions (FAQs)

Math question: Find the measure of angle XYZ if the angle bisector splits it into two angles measuring 60 degrees and 30 degrees.

What is the value of y when x = 3 in the circle with equation x^2 + y^2 = 16?

What is the limit as x approaches 2 of (3x^2 - 5x + 2) / (x^2 - 4)?

New questions in Mathematics

calculate the derivative by the limit definition: f(x) = 6x^3 + 2

String x = 5 Int y=2 System.out.println(x+y)

The profit G of the company CHUNCHES SA is given by G(x) = 3×(40 – ×), where × is the quantity of items sold. Find the maximum profit.

Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that

A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?

The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?

the probabilty that a person has a motorcycle, given that she owns a car 25%. the percentage of people owing a motorcycle is 15% and that who own a car is 35%. find probabilty that a person owns any one or both of those

2/3+5/6×1/2

(24, -7) is on the terminal arm of an angle in standard position. Determine the exact values of the primary trigonometric functions.

The market for economics textbooks is represented by the following supply and demand equations: P = 5 + 2Qs P = 20 - Qd Where P is the price in £s and Qs and Qd are the quantities supplied and demanded in thousands. What is the equilibrium price?

Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.

List the remaining zeros of the polynomial with the given zeros Zeros are: 2, 3i, and 3 + i

2X+2=8

What is the total amount due and the amount of interest on a 3-year loan of $1,000 at a simple interest rate of 12% per year?

X^X =49 X=?

8. Measurement Jillian measured the distance around a small fish pond to be 27 yards. What would be a good estimate of the distance across the pond: 14 yards, 9 yards, or 7 yards? Explain how you decided.

9n + 7(-8 + 4k) use k=2 and n=3

6(k-7) -2=5

Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ¿ by: T (t )=(20 t +10)e−0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(−10 t +15)e−0 .5t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10−2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds. DM 2: study of a function Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ¿ by: T (t )=(20 t +10)e−0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(−10 t +15)e−0.5 t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10−2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds.

Construct a set of six pieces of data with mean, median, and midrange of 67 and where no two pieces of data are the same.

Giovanny Toral-Gomez is standing 118 feet from the base of the Washington Monument. He measures the angle of elevation from the ground to the top of the monument to be 78° Find the height h of the Washington Monument to the nearest foot.

Answer to a math question Giovanny Toral-Gomez is standing 118 feet from the base of the Washington Monument. He measures the angle of elevation from the ground to the top of the monument to be 78° Find the height h of the Washington Monument to the nearest foot.

You might be interested in