Geometry Part 2
posted by Karen .
A highway makes an angle of 6 with the horizontal.This angle is maintained for a horizontal distance of 5 miles.To the nearest hundredth of a mile, how high does the highway rise in this 5 mile section?Show the steps you use to find the distance.

Draw a diagram
tan 6° = d/5
d = 0.53 mi 
Using

A forest ranger spots a fire from a 28foot tower. The angle of depression from the tower to the fire is 11 .
To the nearest foot, how far is the fire from the base of the tower? Show the steps you use to find the solution.
Respond to this Question
Similar Questions

math
You drove 2695 miles in 35 hours. (1) What is your average rate of change? 
Geometry
An airplane rises vertically 1000 feet over a horizontal distance of 1 mile. What is the angle of elevation? 
math
A roadway rises 55ft in horizontal distance of 1/2 mile (1mile=5280ft) Find the tangent of the angle that it makes with the horizontal. 
trig
A roadway rises 55ft in horizontal distance of 1/2 mile (1mile=5280ft) Find the tangent of the angle that it makes with the horizontal. 
calculus
a road that runs perpendicular to a highway leads to a farmhouse located one mile off the highway an automobile travels down the highway past the road leading to the farmhouse at a speed of 60 mph how fast is the distance between the … 
Math
The percent grade of a highway is the amount that the highway raises or falls in a given horizontal distance. For example, a highway with a four percent grade rises 0.04 mile for every 1 mile of horizontal distance. a. How many feet … 
Math, Geometry
The percent grade of a highway is the amount that the highway raises or falls in a given horizontal distance. For example, a highway with a four percent grade rises 0.04 mile for every 1 mile of horizontal distance. a. How many feet … 
calc
The department of transportation has proposed a new 7mile stretch of highway. The elevation of the highway x miles along the path is given by E(x)=.004 (x^48x^3)+2. Where is the steepest point 
algebra 2
The fuel efficiency rating for a certain car is 28 miles per gallon on the highway and 21 miles per gallon in the city. During one week the car traveled a total of 10.5 gallons of fuel. a) please set up an equation(s) that would model … 
Calculus
A road perpendicular to a highway leads to a farmhouse located 6 mile away. An automobile traveling on the highway passes through this intersection at a speed of 75mph. How fast is the distance between the automobile and the farmhouse …